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Finding the Fourth Proportional to 9,262.62, 12,781.26 and 5,282.82

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Solution

The fourth proportional to 9,262.62, 12,781.26 and 5,282.82 is: 7,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.62 : 12,781.26 = 5,282.82 : x
  2. Step 2: Convert to fraction form
    9,262.62/12,781.26 = 5,282.82/x
  3. Step 3: Cross multiply
    9,262.62x = 12,781.26 × 5,282.82
  4. Step 4: Simplify right side
    9,262.62x = 67,521,095.95
  5. Step 5: Solve for x
    x = 67,521,095.95/9,262.62
  6. Step 6: Final answer
    x = 7,289.63

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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.