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Finding the Fourth Proportional to 12,275.91, 16,940.76 and 6,686.91

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Solution

The fourth proportional to 12,275.91, 16,940.76 and 6,686.91 is: 9,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.91 : 16,940.76 = 6,686.91 : x
  2. Step 2: Convert to fraction form
    12,275.91/16,940.76 = 6,686.91/x
  3. Step 3: Cross multiply
    12,275.91x = 16,940.76 × 6,686.91
  4. Step 4: Simplify right side
    12,275.91x = 113,281,337.45
  5. Step 5: Solve for x
    x = 113,281,337.45/12,275.91
  6. Step 6: Final answer
    x = 9,227.94

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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.