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Finding the Fourth Proportional to 34,862.67, 52,286.13 and 9,902.19

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Solution

The fourth proportional to 34,862.67, 52,286.13 and 9,902.19 is: 14,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,862.67 : 52,286.13 = 9,902.19 : x
  2. Step 2: Convert to fraction form
    34,862.67/52,286.13 = 9,902.19/x
  3. Step 3: Cross multiply
    34,862.67x = 52,286.13 × 9,902.19
  4. Step 4: Simplify right side
    34,862.67x = 517,747,193.62
  5. Step 5: Solve for x
    x = 517,747,193.62/34,862.67
  6. Step 6: Final answer
    x = 14,851.05

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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.