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Finding the Fourth Proportional to 6,615.86, 9,129.92 and 3,631.74

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Solution

The fourth proportional to 6,615.86, 9,129.92 and 3,631.74 is: 5,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.86 : 9,129.92 = 3,631.74 : x
  2. Step 2: Convert to fraction form
    6,615.86/9,129.92 = 3,631.74/x
  3. Step 3: Cross multiply
    6,615.86x = 9,129.92 × 3,631.74
  4. Step 4: Simplify right side
    6,615.86x = 33,157,520.30
  5. Step 5: Solve for x
    x = 33,157,520.30/6,615.86
  6. Step 6: Final answer
    x = 5,011.82

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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.