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Finding the Fourth Proportional to 10,494.36, 15,659.33 and 9,391.14

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Solution

The fourth proportional to 10,494.36, 15,659.33 and 9,391.14 is: 14,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.36 : 15,659.33 = 9,391.14 : x
  2. Step 2: Convert to fraction form
    10,494.36/15,659.33 = 9,391.14/x
  3. Step 3: Cross multiply
    10,494.36x = 15,659.33 × 9,391.14
  4. Step 4: Simplify right side
    10,494.36x = 147,058,913.38
  5. Step 5: Solve for x
    x = 147,058,913.38/10,494.36
  6. Step 6: Final answer
    x = 14,013.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.