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Finding the Fourth Proportional to 9,701.40, 14,573.70 and 9,307.80

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Solution

The fourth proportional to 9,701.40, 14,573.70 and 9,307.80 is: 13,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.40 : 14,573.70 = 9,307.80 : x
  2. Step 2: Convert to fraction form
    9,701.40/14,573.70 = 9,307.80/x
  3. Step 3: Cross multiply
    9,701.40x = 14,573.70 × 9,307.80
  4. Step 4: Simplify right side
    9,701.40x = 135,649,084.86
  5. Step 5: Solve for x
    x = 135,649,084.86/9,701.40
  6. Step 6: Final answer
    x = 13,982.42

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