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Finding the Fourth Proportional to 9,262.24, 12,781.74 and 5,283.34

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Solution

The fourth proportional to 9,262.24, 12,781.74 and 5,283.34 is: 7,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.24 : 12,781.74 = 5,283.34 : x
  2. Step 2: Convert to fraction form
    9,262.24/12,781.74 = 5,283.34/x
  3. Step 3: Cross multiply
    9,262.24x = 12,781.74 × 5,283.34
  4. Step 4: Simplify right side
    9,262.24x = 67,530,278.21
  5. Step 5: Solve for x
    x = 67,530,278.21/9,262.24
  6. Step 6: Final answer
    x = 7,290.92

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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.