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Finding the Fourth Proportional to 9,306.60, 12,849.82 and 5,726.37

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Solution

The fourth proportional to 9,306.60, 12,849.82 and 5,726.37 is: 7,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.60 : 12,849.82 = 5,726.37 : x
  2. Step 2: Convert to fraction form
    9,306.60/12,849.82 = 5,726.37/x
  3. Step 3: Cross multiply
    9,306.60x = 12,849.82 × 5,726.37
  4. Step 4: Simplify right side
    9,306.60x = 73,582,857.62
  5. Step 5: Solve for x
    x = 73,582,857.62/9,306.60
  6. Step 6: Final answer
    x = 7,906.53

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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.