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Finding the Fourth Proportional to 9,166.24, 13,747.80 and 3,010.24

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Solution

The fourth proportional to 9,166.24, 13,747.80 and 3,010.24 is: 4,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.24 : 13,747.80 = 3,010.24 : x
  2. Step 2: Convert to fraction form
    9,166.24/13,747.80 = 3,010.24/x
  3. Step 3: Cross multiply
    9,166.24x = 13,747.80 × 3,010.24
  4. Step 4: Simplify right side
    9,166.24x = 41,384,177.47
  5. Step 5: Solve for x
    x = 41,384,177.47/9,166.24
  6. Step 6: Final answer
    x = 4,514.85

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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.