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Finding the Fourth Proportional to 9,181.80, 13,772.70 and 5,488.20

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Solution

The fourth proportional to 9,181.80, 13,772.70 and 5,488.20 is: 8,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.80 : 13,772.70 = 5,488.20 : x
  2. Step 2: Convert to fraction form
    9,181.80/13,772.70 = 5,488.20/x
  3. Step 3: Cross multiply
    9,181.80x = 13,772.70 × 5,488.20
  4. Step 4: Simplify right side
    9,181.80x = 75,587,332.14
  5. Step 5: Solve for x
    x = 75,587,332.14/9,181.80
  6. Step 6: Final answer
    x = 8,232.30

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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.