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Finding the Fourth Proportional to 6,432.69, 9,652.68 and 4,242.45

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Solution

The fourth proportional to 6,432.69, 9,652.68 and 4,242.45 is: 6,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.69 : 9,652.68 = 4,242.45 : x
  2. Step 2: Convert to fraction form
    6,432.69/9,652.68 = 4,242.45/x
  3. Step 3: Cross multiply
    6,432.69x = 9,652.68 × 4,242.45
  4. Step 4: Simplify right side
    6,432.69x = 40,951,012.27
  5. Step 5: Solve for x
    x = 40,951,012.27/6,432.69
  6. Step 6: Final answer
    x = 6,366.08

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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.