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Finding the Fourth Proportional to 9,414.97, 13,054.75 and 9,102.71

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Solution

The fourth proportional to 9,414.97, 13,054.75 and 9,102.71 is: 12,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.97 : 13,054.75 = 9,102.71 : x
  2. Step 2: Convert to fraction form
    9,414.97/13,054.75 = 9,102.71/x
  3. Step 3: Cross multiply
    9,414.97x = 13,054.75 × 9,102.71
  4. Step 4: Simplify right side
    9,414.97x = 118,833,664.46
  5. Step 5: Solve for x
    x = 118,833,664.46/9,414.97
  6. Step 6: Final answer
    x = 12,621.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.