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Finding the Fourth Proportional to 6,487.32, 9,726.42 and 2,269.55

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Solution

The fourth proportional to 6,487.32, 9,726.42 and 2,269.55 is: 3,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.32 : 9,726.42 = 2,269.55 : x
  2. Step 2: Convert to fraction form
    6,487.32/9,726.42 = 2,269.55/x
  3. Step 3: Cross multiply
    6,487.32x = 9,726.42 × 2,269.55
  4. Step 4: Simplify right side
    6,487.32x = 22,074,547.88
  5. Step 5: Solve for x
    x = 22,074,547.88/6,487.32
  6. Step 6: Final answer
    x = 3,402.72

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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.