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Finding the Fourth Proportional to 6,614.76, 9,908.34 and 3,107.82

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Solution

The fourth proportional to 6,614.76, 9,908.34 and 3,107.82 is: 4,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.76 : 9,908.34 = 3,107.82 : x
  2. Step 2: Convert to fraction form
    6,614.76/9,908.34 = 3,107.82/x
  3. Step 3: Cross multiply
    6,614.76x = 9,908.34 × 3,107.82
  4. Step 4: Simplify right side
    6,614.76x = 30,793,337.22
  5. Step 5: Solve for x
    x = 30,793,337.22/6,614.76
  6. Step 6: Final answer
    x = 4,655.25

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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.