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Finding the Fourth Proportional to 10,228.59, 15,337.97 and 6,069.14

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Solution

The fourth proportional to 10,228.59, 15,337.97 and 6,069.14 is: 9,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.59 : 15,337.97 = 6,069.14 : x
  2. Step 2: Convert to fraction form
    10,228.59/15,337.97 = 6,069.14/x
  3. Step 3: Cross multiply
    10,228.59x = 15,337.97 × 6,069.14
  4. Step 4: Simplify right side
    10,228.59x = 93,088,180.21
  5. Step 5: Solve for x
    x = 93,088,180.21/10,228.59
  6. Step 6: Final answer
    x = 9,100.78

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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.