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Finding the Fourth Proportional to 8,846.34, 12,209.13 and 8,098.95

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Solution

The fourth proportional to 8,846.34, 12,209.13 and 8,098.95 is: 11,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.34 : 12,209.13 = 8,098.95 : x
  2. Step 2: Convert to fraction form
    8,846.34/12,209.13 = 8,098.95/x
  3. Step 3: Cross multiply
    8,846.34x = 12,209.13 × 8,098.95
  4. Step 4: Simplify right side
    8,846.34x = 98,881,179.20
  5. Step 5: Solve for x
    x = 98,881,179.20/8,846.34
  6. Step 6: Final answer
    x = 11,177.64

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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.