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Finding the Fourth Proportional to 9,544.80, 13,170 and 5,767.20

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Solution

The fourth proportional to 9,544.80, 13,170 and 5,767.20 is: 7,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.80 : 13,170 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    9,544.80/13,170 = 5,767.20/x
  3. Step 3: Cross multiply
    9,544.80x = 13,170 × 5,767.20
  4. Step 4: Simplify right side
    9,544.80x = 75,954,024
  5. Step 5: Solve for x
    x = 75,954,024/9,544.80
  6. Step 6: Final answer
    x = 7,957.63

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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.