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Finding the Fourth Proportional to 9,414.54, 14,120.70 and 2,489.58

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Solution

The fourth proportional to 9,414.54, 14,120.70 and 2,489.58 is: 3,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.54 : 14,120.70 = 2,489.58 : x
  2. Step 2: Convert to fraction form
    9,414.54/14,120.70 = 2,489.58/x
  3. Step 3: Cross multiply
    9,414.54x = 14,120.70 × 2,489.58
  4. Step 4: Simplify right side
    9,414.54x = 35,154,612.31
  5. Step 5: Solve for x
    x = 35,154,612.31/9,414.54
  6. Step 6: Final answer
    x = 3,734.08

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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.