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Finding the Fourth Proportional to 6,592.80, 9,885.78 and 2,432.64

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Solution

The fourth proportional to 6,592.80, 9,885.78 and 2,432.64 is: 3,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.80 : 9,885.78 = 2,432.64 : x
  2. Step 2: Convert to fraction form
    6,592.80/9,885.78 = 2,432.64/x
  3. Step 3: Cross multiply
    6,592.80x = 9,885.78 × 2,432.64
  4. Step 4: Simplify right side
    6,592.80x = 24,048,543.86
  5. Step 5: Solve for x
    x = 24,048,543.86/6,592.80
  6. Step 6: Final answer
    x = 3,647.70

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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.