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Finding the Fourth Proportional to 9,543.54, 13,170.22 and 5,766.18

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Solution

The fourth proportional to 9,543.54, 13,170.22 and 5,766.18 is: 7,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.54 : 13,170.22 = 5,766.18 : x
  2. Step 2: Convert to fraction form
    9,543.54/13,170.22 = 5,766.18/x
  3. Step 3: Cross multiply
    9,543.54x = 13,170.22 × 5,766.18
  4. Step 4: Simplify right side
    9,543.54x = 75,941,859.16
  5. Step 5: Solve for x
    x = 75,941,859.16/9,543.54
  6. Step 6: Final answer
    x = 7,957.41

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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.