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Finding the Fourth Proportional to 9,494.75, 13,097.27 and 5,715.29

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Solution

The fourth proportional to 9,494.75, 13,097.27 and 5,715.29 is: 7,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.75 : 13,097.27 = 5,715.29 : x
  2. Step 2: Convert to fraction form
    9,494.75/13,097.27 = 5,715.29/x
  3. Step 3: Cross multiply
    9,494.75x = 13,097.27 × 5,715.29
  4. Step 4: Simplify right side
    9,494.75x = 74,854,645.06
  5. Step 5: Solve for x
    x = 74,854,645.06/9,494.75
  6. Step 6: Final answer
    x = 7,883.80

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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.