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Finding the Fourth Proportional to 6,235.92, 9,310.47 and 5,613.84

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Solution

The fourth proportional to 6,235.92, 9,310.47 and 5,613.84 is: 8,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.92 : 9,310.47 = 5,613.84 : x
  2. Step 2: Convert to fraction form
    6,235.92/9,310.47 = 5,613.84/x
  3. Step 3: Cross multiply
    6,235.92x = 9,310.47 × 5,613.84
  4. Step 4: Simplify right side
    6,235.92x = 52,267,488.90
  5. Step 5: Solve for x
    x = 52,267,488.90/6,235.92
  6. Step 6: Final answer
    x = 8,381.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.