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Finding the Fourth Proportional to 6,098.76, 9,144.90 and 4,151.52

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Solution

The fourth proportional to 6,098.76, 9,144.90 and 4,151.52 is: 6,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.76 : 9,144.90 = 4,151.52 : x
  2. Step 2: Convert to fraction form
    6,098.76/9,144.90 = 4,151.52/x
  3. Step 3: Cross multiply
    6,098.76x = 9,144.90 × 4,151.52
  4. Step 4: Simplify right side
    6,098.76x = 37,965,235.25
  5. Step 5: Solve for x
    x = 37,965,235.25/6,098.76
  6. Step 6: Final answer
    x = 6,225.07

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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.