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Finding the Fourth Proportional to 9,142.59, 13,713.95 and 2,902.62

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Solution

The fourth proportional to 9,142.59, 13,713.95 and 2,902.62 is: 4,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.59 : 13,713.95 = 2,902.62 : x
  2. Step 2: Convert to fraction form
    9,142.59/13,713.95 = 2,902.62/x
  3. Step 3: Cross multiply
    9,142.59x = 13,713.95 × 2,902.62
  4. Step 4: Simplify right side
    9,142.59x = 39,806,371.04
  5. Step 5: Solve for x
    x = 39,806,371.04/9,142.59
  6. Step 6: Final answer
    x = 4,353.95

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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.