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Finding the Fourth Proportional to 6,113.60, 9,175.02 and 4,238.44

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Solution

The fourth proportional to 6,113.60, 9,175.02 and 4,238.44 is: 6,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.60 : 9,175.02 = 4,238.44 : x
  2. Step 2: Convert to fraction form
    6,113.60/9,175.02 = 4,238.44/x
  3. Step 3: Cross multiply
    6,113.60x = 9,175.02 × 4,238.44
  4. Step 4: Simplify right side
    6,113.60x = 38,887,704.70
  5. Step 5: Solve for x
    x = 38,887,704.70/6,113.60
  6. Step 6: Final answer
    x = 6,360.85

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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.