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Finding the Fourth Proportional to 9,179.44, 12,663.56 and 5,640.56

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Solution

The fourth proportional to 9,179.44, 12,663.56 and 5,640.56 is: 7,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.44 : 12,663.56 = 5,640.56 : x
  2. Step 2: Convert to fraction form
    9,179.44/12,663.56 = 5,640.56/x
  3. Step 3: Cross multiply
    9,179.44x = 12,663.56 × 5,640.56
  4. Step 4: Simplify right side
    9,179.44x = 71,429,569.99
  5. Step 5: Solve for x
    x = 71,429,569.99/9,179.44
  6. Step 6: Final answer
    x = 7,781.47

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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.