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Finding the Fourth Proportional to 6,326.09, 8,731.71 and 3,672.95

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Solution

The fourth proportional to 6,326.09, 8,731.71 and 3,672.95 is: 5,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.09 : 8,731.71 = 3,672.95 : x
  2. Step 2: Convert to fraction form
    6,326.09/8,731.71 = 3,672.95/x
  3. Step 3: Cross multiply
    6,326.09x = 8,731.71 × 3,672.95
  4. Step 4: Simplify right side
    6,326.09x = 32,071,134.24
  5. Step 5: Solve for x
    x = 32,071,134.24/6,326.09
  6. Step 6: Final answer
    x = 5,069.66

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Why These Related Problems?

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