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Finding the Fourth Proportional to 9,641, 14,451.65 and 5,472.20

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Solution

The fourth proportional to 9,641, 14,451.65 and 5,472.20 is: 8,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 14,451.65 = 5,472.20 : x
  2. Step 2: Convert to fraction form
    9,641/14,451.65 = 5,472.20/x
  3. Step 3: Cross multiply
    9,641x = 14,451.65 × 5,472.20
  4. Step 4: Simplify right side
    9,641x = 79,082,319.13
  5. Step 5: Solve for x
    x = 79,082,319.13/9,641
  6. Step 6: Final answer
    x = 8,202.71

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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.