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Finding the Fourth Proportional to 6,374.75, 9,563.81 and 2,214.74

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Solution

The fourth proportional to 6,374.75, 9,563.81 and 2,214.74 is: 3,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.75 : 9,563.81 = 2,214.74 : x
  2. Step 2: Convert to fraction form
    6,374.75/9,563.81 = 2,214.74/x
  3. Step 3: Cross multiply
    6,374.75x = 9,563.81 × 2,214.74
  4. Step 4: Simplify right side
    6,374.75x = 21,181,365.40
  5. Step 5: Solve for x
    x = 21,181,365.40/6,374.75
  6. Step 6: Final answer
    x = 3,322.70

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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.