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Finding the Fourth Proportional to 9,549.65, 13,179.05 and 5,772.80

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Solution

The fourth proportional to 9,549.65, 13,179.05 and 5,772.80 is: 7,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.65 : 13,179.05 = 5,772.80 : x
  2. Step 2: Convert to fraction form
    9,549.65/13,179.05 = 5,772.80/x
  3. Step 3: Cross multiply
    9,549.65x = 13,179.05 × 5,772.80
  4. Step 4: Simplify right side
    9,549.65x = 76,079,925.08
  5. Step 5: Solve for x
    x = 76,079,925.08/9,549.65
  6. Step 6: Final answer
    x = 7,966.78

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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.