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Finding the Fourth Proportional to 9,130.71, 13,688.90 and 3,861.42

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Solution

The fourth proportional to 9,130.71, 13,688.90 and 3,861.42 is: 5,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.71 : 13,688.90 = 3,861.42 : x
  2. Step 2: Convert to fraction form
    9,130.71/13,688.90 = 3,861.42/x
  3. Step 3: Cross multiply
    9,130.71x = 13,688.90 × 3,861.42
  4. Step 4: Simplify right side
    9,130.71x = 52,858,592.24
  5. Step 5: Solve for x
    x = 52,858,592.24/9,130.71
  6. Step 6: Final answer
    x = 5,789.10

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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.