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Finding the Fourth Proportional to 9,046.71, 13,572.81 and 6,096.99

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Solution

The fourth proportional to 9,046.71, 13,572.81 and 6,096.99 is: 9,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.71 : 13,572.81 = 6,096.99 : x
  2. Step 2: Convert to fraction form
    9,046.71/13,572.81 = 6,096.99/x
  3. Step 3: Cross multiply
    9,046.71x = 13,572.81 × 6,096.99
  4. Step 4: Simplify right side
    9,046.71x = 82,753,286.84
  5. Step 5: Solve for x
    x = 82,753,286.84/9,046.71
  6. Step 6: Final answer
    x = 9,147.33

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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.