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Finding the Fourth Proportional to 6,486.29, 9,729.60 and 2,326.59

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Solution

The fourth proportional to 6,486.29, 9,729.60 and 2,326.59 is: 3,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.29 : 9,729.60 = 2,326.59 : x
  2. Step 2: Convert to fraction form
    6,486.29/9,729.60 = 2,326.59/x
  3. Step 3: Cross multiply
    6,486.29x = 9,729.60 × 2,326.59
  4. Step 4: Simplify right side
    6,486.29x = 22,636,790.06
  5. Step 5: Solve for x
    x = 22,636,790.06/6,486.29
  6. Step 6: Final answer
    x = 3,489.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.