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Finding the Fourth Proportional to 9,549.62, 13,178.79 and 5,772.05

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Solution

The fourth proportional to 9,549.62, 13,178.79 and 5,772.05 is: 7,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.62 : 13,178.79 = 5,772.05 : x
  2. Step 2: Convert to fraction form
    9,549.62/13,178.79 = 5,772.05/x
  3. Step 3: Cross multiply
    9,549.62x = 13,178.79 × 5,772.05
  4. Step 4: Simplify right side
    9,549.62x = 76,068,568.93
  5. Step 5: Solve for x
    x = 76,068,568.93/9,549.62
  6. Step 6: Final answer
    x = 7,965.62

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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.