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Finding the Fourth Proportional to 6,432.99, 9,627.57 and 5,394.17

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Solution

The fourth proportional to 6,432.99, 9,627.57 and 5,394.17 is: 8,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.99 : 9,627.57 = 5,394.17 : x
  2. Step 2: Convert to fraction form
    6,432.99/9,627.57 = 5,394.17/x
  3. Step 3: Cross multiply
    6,432.99x = 9,627.57 × 5,394.17
  4. Step 4: Simplify right side
    6,432.99x = 51,932,701.13
  5. Step 5: Solve for x
    x = 51,932,701.13/6,432.99
  6. Step 6: Final answer
    x = 8,072.87

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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.