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Finding the Fourth Proportional to 8,417.97, 12,610.53 and 6,192.75

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Solution

The fourth proportional to 8,417.97, 12,610.53 and 6,192.75 is: 9,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.97 : 12,610.53 = 6,192.75 : x
  2. Step 2: Convert to fraction form
    8,417.97/12,610.53 = 6,192.75/x
  3. Step 3: Cross multiply
    8,417.97x = 12,610.53 × 6,192.75
  4. Step 4: Simplify right side
    8,417.97x = 78,093,859.66
  5. Step 5: Solve for x
    x = 78,093,859.66/8,417.97
  6. Step 6: Final answer
    x = 9,277.04

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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.