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Finding the Fourth Proportional to 10,101.19, 13,951.31 and 6,738.16

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Solution

The fourth proportional to 10,101.19, 13,951.31 and 6,738.16 is: 9,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.19 : 13,951.31 = 6,738.16 : x
  2. Step 2: Convert to fraction form
    10,101.19/13,951.31 = 6,738.16/x
  3. Step 3: Cross multiply
    10,101.19x = 13,951.31 × 6,738.16
  4. Step 4: Simplify right side
    10,101.19x = 94,006,158.99
  5. Step 5: Solve for x
    x = 94,006,158.99/10,101.19
  6. Step 6: Final answer
    x = 9,306.44

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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.