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Finding the Fourth Proportional to 6,378.32, 9,567.43 and 2,218.32

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Solution

The fourth proportional to 6,378.32, 9,567.43 and 2,218.32 is: 3,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.32 : 9,567.43 = 2,218.32 : x
  2. Step 2: Convert to fraction form
    6,378.32/9,567.43 = 2,218.32/x
  3. Step 3: Cross multiply
    6,378.32x = 9,567.43 × 2,218.32
  4. Step 4: Simplify right side
    6,378.32x = 21,223,615.77
  5. Step 5: Solve for x
    x = 21,223,615.77/6,378.32
  6. Step 6: Final answer
    x = 3,327.46

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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.