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Finding the Fourth Proportional to 10,102.39, 13,927.71 and 7,073.44

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Solution

The fourth proportional to 10,102.39, 13,927.71 and 7,073.44 is: 9,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.39 : 13,927.71 = 7,073.44 : x
  2. Step 2: Convert to fraction form
    10,102.39/13,927.71 = 7,073.44/x
  3. Step 3: Cross multiply
    10,102.39x = 13,927.71 × 7,073.44
  4. Step 4: Simplify right side
    10,102.39x = 98,516,856.25
  5. Step 5: Solve for x
    x = 98,516,856.25/10,102.39
  6. Step 6: Final answer
    x = 9,751.83

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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.