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Finding the Fourth Proportional to 9,517.67, 13,134.42 and 5,325.91

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Solution

The fourth proportional to 9,517.67, 13,134.42 and 5,325.91 is: 7,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.67 : 13,134.42 = 5,325.91 : x
  2. Step 2: Convert to fraction form
    9,517.67/13,134.42 = 5,325.91/x
  3. Step 3: Cross multiply
    9,517.67x = 13,134.42 × 5,325.91
  4. Step 4: Simplify right side
    9,517.67x = 69,952,712.19
  5. Step 5: Solve for x
    x = 69,952,712.19/9,517.67
  6. Step 6: Final answer
    x = 7,349.77

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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.