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Finding the Fourth Proportional to 9,114.92, 13,658.71 and 6,340.16

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Solution

The fourth proportional to 9,114.92, 13,658.71 and 6,340.16 is: 9,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.92 : 13,658.71 = 6,340.16 : x
  2. Step 2: Convert to fraction form
    9,114.92/13,658.71 = 6,340.16/x
  3. Step 3: Cross multiply
    9,114.92x = 13,658.71 × 6,340.16
  4. Step 4: Simplify right side
    9,114.92x = 86,598,406.79
  5. Step 5: Solve for x
    x = 86,598,406.79/9,114.92
  6. Step 6: Final answer
    x = 9,500.73

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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.