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Finding the Fourth Proportional to 9,133.30, 12,610.92 and 8,027.38

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Solution

The fourth proportional to 9,133.30, 12,610.92 and 8,027.38 is: 11,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.30 : 12,610.92 = 8,027.38 : x
  2. Step 2: Convert to fraction form
    9,133.30/12,610.92 = 8,027.38/x
  3. Step 3: Cross multiply
    9,133.30x = 12,610.92 × 8,027.38
  4. Step 4: Simplify right side
    9,133.30x = 101,232,646.99
  5. Step 5: Solve for x
    x = 101,232,646.99/9,133.30
  6. Step 6: Final answer
    x = 11,083.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.