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Finding the Fourth Proportional to 9,308.16, 12,847.68 and 6,163.20

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Solution

The fourth proportional to 9,308.16, 12,847.68 and 6,163.20 is: 8,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.16 : 12,847.68 = 6,163.20 : x
  2. Step 2: Convert to fraction form
    9,308.16/12,847.68 = 6,163.20/x
  3. Step 3: Cross multiply
    9,308.16x = 12,847.68 × 6,163.20
  4. Step 4: Simplify right side
    9,308.16x = 79,182,821.38
  5. Step 5: Solve for x
    x = 79,182,821.38/9,308.16
  6. Step 6: Final answer
    x = 8,506.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.