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Finding the Fourth Proportional to 9,508.17, 13,122.25 and 5,475.14

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Solution

The fourth proportional to 9,508.17, 13,122.25 and 5,475.14 is: 7,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.17 : 13,122.25 = 5,475.14 : x
  2. Step 2: Convert to fraction form
    9,508.17/13,122.25 = 5,475.14/x
  3. Step 3: Cross multiply
    9,508.17x = 13,122.25 × 5,475.14
  4. Step 4: Simplify right side
    9,508.17x = 71,846,155.87
  5. Step 5: Solve for x
    x = 71,846,155.87/9,508.17
  6. Step 6: Final answer
    x = 7,556.25

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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.