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Finding the Fourth Proportional to 10,329.92, 14,247.14 and 7,144.49

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Solution

The fourth proportional to 10,329.92, 14,247.14 and 7,144.49 is: 9,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.92 : 14,247.14 = 7,144.49 : x
  2. Step 2: Convert to fraction form
    10,329.92/14,247.14 = 7,144.49/x
  3. Step 3: Cross multiply
    10,329.92x = 14,247.14 × 7,144.49
  4. Step 4: Simplify right side
    10,329.92x = 101,788,442.30
  5. Step 5: Solve for x
    x = 101,788,442.30/10,329.92
  6. Step 6: Final answer
    x = 9,853.75

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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.