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Finding the Fourth Proportional to 6,614.82, 9,913.50 and 3,104.28

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Solution

The fourth proportional to 6,614.82, 9,913.50 and 3,104.28 is: 4,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.82 : 9,913.50 = 3,104.28 : x
  2. Step 2: Convert to fraction form
    6,614.82/9,913.50 = 3,104.28/x
  3. Step 3: Cross multiply
    6,614.82x = 9,913.50 × 3,104.28
  4. Step 4: Simplify right side
    6,614.82x = 30,774,279.78
  5. Step 5: Solve for x
    x = 30,774,279.78/6,614.82
  6. Step 6: Final answer
    x = 4,652.32

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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.