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Finding the Fourth Proportional to 6,171.84, 9,249.12 and 4,432.32

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Solution

The fourth proportional to 6,171.84, 9,249.12 and 4,432.32 is: 6,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.84 : 9,249.12 = 4,432.32 : x
  2. Step 2: Convert to fraction form
    6,171.84/9,249.12 = 4,432.32/x
  3. Step 3: Cross multiply
    6,171.84x = 9,249.12 × 4,432.32
  4. Step 4: Simplify right side
    6,171.84x = 40,995,059.56
  5. Step 5: Solve for x
    x = 40,995,059.56/6,171.84
  6. Step 6: Final answer
    x = 6,642.28

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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.