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Finding the Fourth Proportional to 6,326.71, 8,730.69 and 3,494.14

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Solution

The fourth proportional to 6,326.71, 8,730.69 and 3,494.14 is: 4,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.71 : 8,730.69 = 3,494.14 : x
  2. Step 2: Convert to fraction form
    6,326.71/8,730.69 = 3,494.14/x
  3. Step 3: Cross multiply
    6,326.71x = 8,730.69 × 3,494.14
  4. Step 4: Simplify right side
    6,326.71x = 30,506,218.23
  5. Step 5: Solve for x
    x = 30,506,218.23/6,326.71
  6. Step 6: Final answer
    x = 4,821.82

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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.