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Finding the Fourth Proportional to 7,012.47, 9,677.24 and 3,825.80

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Solution

The fourth proportional to 7,012.47, 9,677.24 and 3,825.80 is: 5,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.47 : 9,677.24 = 3,825.80 : x
  2. Step 2: Convert to fraction form
    7,012.47/9,677.24 = 3,825.80/x
  3. Step 3: Cross multiply
    7,012.47x = 9,677.24 × 3,825.80
  4. Step 4: Simplify right side
    7,012.47x = 37,023,167.91
  5. Step 5: Solve for x
    x = 37,023,167.91/7,012.47
  6. Step 6: Final answer
    x = 5,279.62

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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.