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Finding the Fourth Proportional to 6,432.44, 9,596.68 and 5,497.16

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Solution

The fourth proportional to 6,432.44, 9,596.68 and 5,497.16 is: 8,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.44 : 9,596.68 = 5,497.16 : x
  2. Step 2: Convert to fraction form
    6,432.44/9,596.68 = 5,497.16/x
  3. Step 3: Cross multiply
    6,432.44x = 9,596.68 × 5,497.16
  4. Step 4: Simplify right side
    6,432.44x = 52,754,485.43
  5. Step 5: Solve for x
    x = 52,754,485.43/6,432.44
  6. Step 6: Final answer
    x = 8,201.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.