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Finding the Fourth Proportional to 6,743.80, 9,315.30 and 5,169.16

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Solution

The fourth proportional to 6,743.80, 9,315.30 and 5,169.16 is: 7,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.80 : 9,315.30 = 5,169.16 : x
  2. Step 2: Convert to fraction form
    6,743.80/9,315.30 = 5,169.16/x
  3. Step 3: Cross multiply
    6,743.80x = 9,315.30 × 5,169.16
  4. Step 4: Simplify right side
    6,743.80x = 48,152,276.15
  5. Step 5: Solve for x
    x = 48,152,276.15/6,743.80
  6. Step 6: Final answer
    x = 7,140.23

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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.