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Finding the Fourth Proportional to 6,432.81, 9,652.45 and 2,539.95

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Solution

The fourth proportional to 6,432.81, 9,652.45 and 2,539.95 is: 3,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.81 : 9,652.45 = 2,539.95 : x
  2. Step 2: Convert to fraction form
    6,432.81/9,652.45 = 2,539.95/x
  3. Step 3: Cross multiply
    6,432.81x = 9,652.45 × 2,539.95
  4. Step 4: Simplify right side
    6,432.81x = 24,516,740.38
  5. Step 5: Solve for x
    x = 24,516,740.38/6,432.81
  6. Step 6: Final answer
    x = 3,811.20

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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.