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Finding the Fourth Proportional to 9,706,909.80, 14,560,364.70 and 9,580,938.60

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Solution

The fourth proportional to 9,706,909.80, 14,560,364.70 and 9,580,938.60 is: 14,371,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706,909.80 : 14,560,364.70 = 9,580,938.60 : x
  2. Step 2: Convert to fraction form
    9,706,909.80/14,560,364.70 = 9,580,938.60/x
  3. Step 3: Cross multiply
    9,706,909.80x = 14,560,364.70 × 9,580,938.60
  4. Step 4: Simplify right side
    9,706,909.80x = 139,501,960,184,307.41
  5. Step 5: Solve for x
    x = 139,501,960,184,307.41/9,706,909.80
  6. Step 6: Final answer
    x = 14,371,407.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.