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Finding the Fourth Proportional to 6,107, 9,159.84 and 4,145.20

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Solution

The fourth proportional to 6,107, 9,159.84 and 4,145.20 is: 6,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 9,159.84 = 4,145.20 : x
  2. Step 2: Convert to fraction form
    6,107/9,159.84 = 4,145.20/x
  3. Step 3: Cross multiply
    6,107x = 9,159.84 × 4,145.20
  4. Step 4: Simplify right side
    6,107x = 37,969,368.77
  5. Step 5: Solve for x
    x = 37,969,368.77/6,107
  6. Step 6: Final answer
    x = 6,217.35

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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.