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Finding the Fourth Proportional to 6,125.99, 9,201.14 and 5,248.16

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Solution

The fourth proportional to 6,125.99, 9,201.14 and 5,248.16 is: 7,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.99 : 9,201.14 = 5,248.16 : x
  2. Step 2: Convert to fraction form
    6,125.99/9,201.14 = 5,248.16/x
  3. Step 3: Cross multiply
    6,125.99x = 9,201.14 × 5,248.16
  4. Step 4: Simplify right side
    6,125.99x = 48,288,982.66
  5. Step 5: Solve for x
    x = 48,288,982.66/6,125.99
  6. Step 6: Final answer
    x = 7,882.64

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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.