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Finding the Fourth Proportional to 6,098.32, 9,147.46 and 1,481.32

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Solution

The fourth proportional to 6,098.32, 9,147.46 and 1,481.32 is: 2,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.32 : 9,147.46 = 1,481.32 : x
  2. Step 2: Convert to fraction form
    6,098.32/9,147.46 = 1,481.32/x
  3. Step 3: Cross multiply
    6,098.32x = 9,147.46 × 1,481.32
  4. Step 4: Simplify right side
    6,098.32x = 13,550,315.45
  5. Step 5: Solve for x
    x = 13,550,315.45/6,098.32
  6. Step 6: Final answer
    x = 2,221.98

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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.