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Finding the Fourth Proportional to 6,432.34, 9,653.12 and 2,737.17

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Solution

The fourth proportional to 6,432.34, 9,653.12 and 2,737.17 is: 4,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.34 : 9,653.12 = 2,737.17 : x
  2. Step 2: Convert to fraction form
    6,432.34/9,653.12 = 2,737.17/x
  3. Step 3: Cross multiply
    6,432.34x = 9,653.12 × 2,737.17
  4. Step 4: Simplify right side
    6,432.34x = 26,422,189.05
  5. Step 5: Solve for x
    x = 26,422,189.05/6,432.34
  6. Step 6: Final answer
    x = 4,107.71

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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.