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Finding the Fourth Proportional to 6,599.27, 9,107.10 and 3,614.91

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Solution

The fourth proportional to 6,599.27, 9,107.10 and 3,614.91 is: 4,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.27 : 9,107.10 = 3,614.91 : x
  2. Step 2: Convert to fraction form
    6,599.27/9,107.10 = 3,614.91/x
  3. Step 3: Cross multiply
    6,599.27x = 9,107.10 × 3,614.91
  4. Step 4: Simplify right side
    6,599.27x = 32,921,346.86
  5. Step 5: Solve for x
    x = 32,921,346.86/6,599.27
  6. Step 6: Final answer
    x = 4,988.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.