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Finding the Fourth Proportional to 6,214.52, 9,321.48 and 2,318.63

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Solution

The fourth proportional to 6,214.52, 9,321.48 and 2,318.63 is: 3,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.52 : 9,321.48 = 2,318.63 : x
  2. Step 2: Convert to fraction form
    6,214.52/9,321.48 = 2,318.63/x
  3. Step 3: Cross multiply
    6,214.52x = 9,321.48 × 2,318.63
  4. Step 4: Simplify right side
    6,214.52x = 21,613,016.57
  5. Step 5: Solve for x
    x = 21,613,016.57/6,214.52
  6. Step 6: Final answer
    x = 3,477.82

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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.