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Finding the Fourth Proportional to 9,045.20, 13,567.80 and 5,772.80

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Solution

The fourth proportional to 9,045.20, 13,567.80 and 5,772.80 is: 8,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.20 : 13,567.80 = 5,772.80 : x
  2. Step 2: Convert to fraction form
    9,045.20/13,567.80 = 5,772.80/x
  3. Step 3: Cross multiply
    9,045.20x = 13,567.80 × 5,772.80
  4. Step 4: Simplify right side
    9,045.20x = 78,324,195.84
  5. Step 5: Solve for x
    x = 78,324,195.84/9,045.20
  6. Step 6: Final answer
    x = 8,659.20

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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.