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Finding the Fourth Proportional to 10,265.96, 14,078.66 and 9,839.90

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Solution

The fourth proportional to 10,265.96, 14,078.66 and 9,839.90 is: 13,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.96 : 14,078.66 = 9,839.90 : x
  2. Step 2: Convert to fraction form
    10,265.96/14,078.66 = 9,839.90/x
  3. Step 3: Cross multiply
    10,265.96x = 14,078.66 × 9,839.90
  4. Step 4: Simplify right side
    10,265.96x = 138,532,592.53
  5. Step 5: Solve for x
    x = 138,532,592.53/10,265.96
  6. Step 6: Final answer
    x = 13,494.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.