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Finding the Fourth Proportional to 9,114.55, 12,496.04 and 8,948.48

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Solution

The fourth proportional to 9,114.55, 12,496.04 and 8,948.48 is: 12,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.55 : 12,496.04 = 8,948.48 : x
  2. Step 2: Convert to fraction form
    9,114.55/12,496.04 = 8,948.48/x
  3. Step 3: Cross multiply
    9,114.55x = 12,496.04 × 8,948.48
  4. Step 4: Simplify right side
    9,114.55x = 111,820,523.91
  5. Step 5: Solve for x
    x = 111,820,523.91/9,114.55
  6. Step 6: Final answer
    x = 12,268.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.