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Finding the Fourth Proportional to 9,938.39, 13,706.98 and 8,740.80

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Solution

The fourth proportional to 9,938.39, 13,706.98 and 8,740.80 is: 12,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.39 : 13,706.98 = 8,740.80 : x
  2. Step 2: Convert to fraction form
    9,938.39/13,706.98 = 8,740.80/x
  3. Step 3: Cross multiply
    9,938.39x = 13,706.98 × 8,740.80
  4. Step 4: Simplify right side
    9,938.39x = 119,809,948.93
  5. Step 5: Solve for x
    x = 119,809,948.93/9,938.39
  6. Step 6: Final answer
    x = 12,055.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.