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Finding the Fourth Proportional to 9,180, 13,772.16 and 3,985.92

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Solution

The fourth proportional to 9,180, 13,772.16 and 3,985.92 is: 5,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,772.16 = 3,985.92 : x
  2. Step 2: Convert to fraction form
    9,180/13,772.16 = 3,985.92/x
  3. Step 3: Cross multiply
    9,180x = 13,772.16 × 3,985.92
  4. Step 4: Simplify right side
    9,180x = 54,894,727.99
  5. Step 5: Solve for x
    x = 54,894,727.99/9,180
  6. Step 6: Final answer
    x = 5,979.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.