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Finding the Fourth Proportional to 6,641.48, 9,169.68 and 5,388.20

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Solution

The fourth proportional to 6,641.48, 9,169.68 and 5,388.20 is: 7,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.48 : 9,169.68 = 5,388.20 : x
  2. Step 2: Convert to fraction form
    6,641.48/9,169.68 = 5,388.20/x
  3. Step 3: Cross multiply
    6,641.48x = 9,169.68 × 5,388.20
  4. Step 4: Simplify right side
    6,641.48x = 49,408,069.78
  5. Step 5: Solve for x
    x = 49,408,069.78/6,641.48
  6. Step 6: Final answer
    x = 7,439.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.