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Finding the Fourth Proportional to 9,451.62, 14,187.72 and 5,507.16

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Solution

The fourth proportional to 9,451.62, 14,187.72 and 5,507.16 is: 8,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.62 : 14,187.72 = 5,507.16 : x
  2. Step 2: Convert to fraction form
    9,451.62/14,187.72 = 5,507.16/x
  3. Step 3: Cross multiply
    9,451.62x = 14,187.72 × 5,507.16
  4. Step 4: Simplify right side
    9,451.62x = 78,134,044.08
  5. Step 5: Solve for x
    x = 78,134,044.08/9,451.62
  6. Step 6: Final answer
    x = 8,266.74

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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.