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Finding the Fourth Proportional to 6,214.38, 9,327.89 and 2,705.95

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Solution

The fourth proportional to 6,214.38, 9,327.89 and 2,705.95 is: 4,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.38 : 9,327.89 = 2,705.95 : x
  2. Step 2: Convert to fraction form
    6,214.38/9,327.89 = 2,705.95/x
  3. Step 3: Cross multiply
    6,214.38x = 9,327.89 × 2,705.95
  4. Step 4: Simplify right side
    6,214.38x = 25,240,803.95
  5. Step 5: Solve for x
    x = 25,240,803.95/6,214.38
  6. Step 6: Final answer
    x = 4,061.68

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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.