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Finding the Fourth Proportional to 9,494.28, 13,098.11 and 5,717.43

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Solution

The fourth proportional to 9,494.28, 13,098.11 and 5,717.43 is: 7,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.28 : 13,098.11 = 5,717.43 : x
  2. Step 2: Convert to fraction form
    9,494.28/13,098.11 = 5,717.43/x
  3. Step 3: Cross multiply
    9,494.28x = 13,098.11 × 5,717.43
  4. Step 4: Simplify right side
    9,494.28x = 74,887,498.47
  5. Step 5: Solve for x
    x = 74,887,498.47/9,494.28
  6. Step 6: Final answer
    x = 7,887.64

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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.