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Finding the Fourth Proportional to 9,142.46, 13,715.22 and 3,592.86

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Solution

The fourth proportional to 9,142.46, 13,715.22 and 3,592.86 is: 5,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.46 : 13,715.22 = 3,592.86 : x
  2. Step 2: Convert to fraction form
    9,142.46/13,715.22 = 3,592.86/x
  3. Step 3: Cross multiply
    9,142.46x = 13,715.22 × 3,592.86
  4. Step 4: Simplify right side
    9,142.46x = 49,276,865.33
  5. Step 5: Solve for x
    x = 49,276,865.33/9,142.46
  6. Step 6: Final answer
    x = 5,389.89

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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.