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Finding the Fourth Proportional to 9,122.48, 13,683.20 and 3,855.28

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Solution

The fourth proportional to 9,122.48, 13,683.20 and 3,855.28 is: 5,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.48 : 13,683.20 = 3,855.28 : x
  2. Step 2: Convert to fraction form
    9,122.48/13,683.20 = 3,855.28/x
  3. Step 3: Cross multiply
    9,122.48x = 13,683.20 × 3,855.28
  4. Step 4: Simplify right side
    9,122.48x = 52,752,567.30
  5. Step 5: Solve for x
    x = 52,752,567.30/9,122.48
  6. Step 6: Final answer
    x = 5,782.70

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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.