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Finding the Fourth Proportional to 9,098.24, 12,553.89 and 5,118.71

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Solution

The fourth proportional to 9,098.24, 12,553.89 and 5,118.71 is: 7,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.24 : 12,553.89 = 5,118.71 : x
  2. Step 2: Convert to fraction form
    9,098.24/12,553.89 = 5,118.71/x
  3. Step 3: Cross multiply
    9,098.24x = 12,553.89 × 5,118.71
  4. Step 4: Simplify right side
    9,098.24x = 64,259,659.51
  5. Step 5: Solve for x
    x = 64,259,659.51/9,098.24
  6. Step 6: Final answer
    x = 7,062.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.