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Finding the Fourth Proportional to 9,691.72, 14,550.48 and 5,750.26

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Solution

The fourth proportional to 9,691.72, 14,550.48 and 5,750.26 is: 8,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.72 : 14,550.48 = 5,750.26 : x
  2. Step 2: Convert to fraction form
    9,691.72/14,550.48 = 5,750.26/x
  3. Step 3: Cross multiply
    9,691.72x = 14,550.48 × 5,750.26
  4. Step 4: Simplify right side
    9,691.72x = 83,669,043.12
  5. Step 5: Solve for x
    x = 83,669,043.12/9,691.72
  6. Step 6: Final answer
    x = 8,633.04

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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.