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Finding the Fourth Proportional to 8,634.99, 11,864.65 and 6,863.52

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Solution

The fourth proportional to 8,634.99, 11,864.65 and 6,863.52 is: 9,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.99 : 11,864.65 = 6,863.52 : x
  2. Step 2: Convert to fraction form
    8,634.99/11,864.65 = 6,863.52/x
  3. Step 3: Cross multiply
    8,634.99x = 11,864.65 × 6,863.52
  4. Step 4: Simplify right side
    8,634.99x = 81,433,262.57
  5. Step 5: Solve for x
    x = 81,433,262.57/8,634.99
  6. Step 6: Final answer
    x = 9,430.61

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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.