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Finding the Fourth Proportional to 8,844.97, 12,205.86 and 4,866

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Solution

The fourth proportional to 8,844.97, 12,205.86 and 4,866 is: 6,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,844.97 : 12,205.86 = 4,866 : x
  2. Step 2: Convert to fraction form
    8,844.97/12,205.86 = 4,866/x
  3. Step 3: Cross multiply
    8,844.97x = 12,205.86 × 4,866
  4. Step 4: Simplify right side
    8,844.97x = 59,393,714.76
  5. Step 5: Solve for x
    x = 59,393,714.76/8,844.97
  6. Step 6: Final answer
    x = 6,714.97

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