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Finding the Fourth Proportional to 6,098.35, 9,147.07 and 2,202.76

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Solution

The fourth proportional to 6,098.35, 9,147.07 and 2,202.76 is: 3,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.35 : 9,147.07 = 2,202.76 : x
  2. Step 2: Convert to fraction form
    6,098.35/9,147.07 = 2,202.76/x
  3. Step 3: Cross multiply
    6,098.35x = 9,147.07 × 2,202.76
  4. Step 4: Simplify right side
    6,098.35x = 20,148,799.91
  5. Step 5: Solve for x
    x = 20,148,799.91/6,098.35
  6. Step 6: Final answer
    x = 3,303.98

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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.