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Finding the Fourth Proportional to 9,193.38, 13,792.17 and 7,326.30

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Solution

The fourth proportional to 9,193.38, 13,792.17 and 7,326.30 is: 10,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.38 : 13,792.17 = 7,326.30 : x
  2. Step 2: Convert to fraction form
    9,193.38/13,792.17 = 7,326.30/x
  3. Step 3: Cross multiply
    9,193.38x = 13,792.17 × 7,326.30
  4. Step 4: Simplify right side
    9,193.38x = 101,045,575.07
  5. Step 5: Solve for x
    x = 101,045,575.07/9,193.38
  6. Step 6: Final answer
    x = 10,991.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.