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Finding the Fourth Proportional to 9,127.68, 12,514 and 8,961.60

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Solution

The fourth proportional to 9,127.68, 12,514 and 8,961.60 is: 12,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.68 : 12,514 = 8,961.60 : x
  2. Step 2: Convert to fraction form
    9,127.68/12,514 = 8,961.60/x
  3. Step 3: Cross multiply
    9,127.68x = 12,514 × 8,961.60
  4. Step 4: Simplify right side
    9,127.68x = 112,145,462.40
  5. Step 5: Solve for x
    x = 112,145,462.40/9,127.68
  6. Step 6: Final answer
    x = 12,286.31

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