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Finding the Fourth Proportional to 9,391.97, 14,087.14 and 5,693.11

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Solution

The fourth proportional to 9,391.97, 14,087.14 and 5,693.11 is: 8,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.97 : 14,087.14 = 5,693.11 : x
  2. Step 2: Convert to fraction form
    9,391.97/14,087.14 = 5,693.11/x
  3. Step 3: Cross multiply
    9,391.97x = 14,087.14 × 5,693.11
  4. Step 4: Simplify right side
    9,391.97x = 80,199,637.61
  5. Step 5: Solve for x
    x = 80,199,637.61/9,391.97
  6. Step 6: Final answer
    x = 8,539.17

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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.