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Finding the Fourth Proportional to 6,414.60, 9,614.32 and 2,900.48

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Solution

The fourth proportional to 6,414.60, 9,614.32 and 2,900.48 is: 4,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.60 : 9,614.32 = 2,900.48 : x
  2. Step 2: Convert to fraction form
    6,414.60/9,614.32 = 2,900.48/x
  3. Step 3: Cross multiply
    6,414.60x = 9,614.32 × 2,900.48
  4. Step 4: Simplify right side
    6,414.60x = 27,886,142.87
  5. Step 5: Solve for x
    x = 27,886,142.87/6,414.60
  6. Step 6: Final answer
    x = 4,347.29

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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.