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Finding the Fourth Proportional to 6,098.85, 9,152.92 and 4,223.69

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Solution

The fourth proportional to 6,098.85, 9,152.92 and 4,223.69 is: 6,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.85 : 9,152.92 = 4,223.69 : x
  2. Step 2: Convert to fraction form
    6,098.85/9,152.92 = 4,223.69/x
  3. Step 3: Cross multiply
    6,098.85x = 9,152.92 × 4,223.69
  4. Step 4: Simplify right side
    6,098.85x = 38,659,118.24
  5. Step 5: Solve for x
    x = 38,659,118.24/6,098.85
  6. Step 6: Final answer
    x = 6,338.75

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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.