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Finding the Fourth Proportional to 6,378.34, 9,567.24 and 2,219.29

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Solution

The fourth proportional to 6,378.34, 9,567.24 and 2,219.29 is: 3,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.34 : 9,567.24 = 2,219.29 : x
  2. Step 2: Convert to fraction form
    6,378.34/9,567.24 = 2,219.29/x
  3. Step 3: Cross multiply
    6,378.34x = 9,567.24 × 2,219.29
  4. Step 4: Simplify right side
    6,378.34x = 21,232,432.22
  5. Step 5: Solve for x
    x = 21,232,432.22/6,378.34
  6. Step 6: Final answer
    x = 3,328.84

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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.