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Finding the Fourth Proportional to 6,308.24, 9,462.28 and 2,147.12

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Solution

The fourth proportional to 6,308.24, 9,462.28 and 2,147.12 is: 3,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.24 : 9,462.28 = 2,147.12 : x
  2. Step 2: Convert to fraction form
    6,308.24/9,462.28 = 2,147.12/x
  3. Step 3: Cross multiply
    6,308.24x = 9,462.28 × 2,147.12
  4. Step 4: Simplify right side
    6,308.24x = 20,316,650.63
  5. Step 5: Solve for x
    x = 20,316,650.63/6,308.24
  6. Step 6: Final answer
    x = 3,220.65

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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.