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Finding the Fourth Proportional to 9,319.65, 12,859.68 and 5,542.74

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Solution

The fourth proportional to 9,319.65, 12,859.68 and 5,542.74 is: 7,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.65 : 12,859.68 = 5,542.74 : x
  2. Step 2: Convert to fraction form
    9,319.65/12,859.68 = 5,542.74/x
  3. Step 3: Cross multiply
    9,319.65x = 12,859.68 × 5,542.74
  4. Step 4: Simplify right side
    9,319.65x = 71,277,862.72
  5. Step 5: Solve for x
    x = 71,277,862.72/9,319.65
  6. Step 6: Final answer
    x = 7,648.13

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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.