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Finding the Fourth Proportional to 6,364.19, 9,542.80 and 2,203.85

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Solution

The fourth proportional to 6,364.19, 9,542.80 and 2,203.85 is: 3,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.19 : 9,542.80 = 2,203.85 : x
  2. Step 2: Convert to fraction form
    6,364.19/9,542.80 = 2,203.85/x
  3. Step 3: Cross multiply
    6,364.19x = 9,542.80 × 2,203.85
  4. Step 4: Simplify right side
    6,364.19x = 21,030,854.82
  5. Step 5: Solve for x
    x = 21,030,854.82/6,364.19
  6. Step 6: Final answer
    x = 3,304.56

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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.