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Finding the Fourth Proportional to 9,122.38, 13,683.12 and 2,548.42

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Solution

The fourth proportional to 9,122.38, 13,683.12 and 2,548.42 is: 3,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.38 : 13,683.12 = 2,548.42 : x
  2. Step 2: Convert to fraction form
    9,122.38/13,683.12 = 2,548.42/x
  3. Step 3: Cross multiply
    9,122.38x = 13,683.12 × 2,548.42
  4. Step 4: Simplify right side
    9,122.38x = 34,870,336.67
  5. Step 5: Solve for x
    x = 34,870,336.67/9,122.38
  6. Step 6: Final answer
    x = 3,822.50

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Why These Related Problems?

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