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Finding the Fourth Proportional to 9,321.74, 12,859.76 and 5,542.76

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Solution

The fourth proportional to 9,321.74, 12,859.76 and 5,542.76 is: 7,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.74 : 12,859.76 = 5,542.76 : x
  2. Step 2: Convert to fraction form
    9,321.74/12,859.76 = 5,542.76/x
  3. Step 3: Cross multiply
    9,321.74x = 12,859.76 × 5,542.76
  4. Step 4: Simplify right side
    9,321.74x = 71,278,563.34
  5. Step 5: Solve for x
    x = 71,278,563.34/9,321.74
  6. Step 6: Final answer
    x = 7,646.49

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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.