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Finding the Fourth Proportional to 8,161.12, 12,209.64 and 6,298.16

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Solution

The fourth proportional to 8,161.12, 12,209.64 and 6,298.16 is: 9,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.12 : 12,209.64 = 6,298.16 : x
  2. Step 2: Convert to fraction form
    8,161.12/12,209.64 = 6,298.16/x
  3. Step 3: Cross multiply
    8,161.12x = 12,209.64 × 6,298.16
  4. Step 4: Simplify right side
    8,161.12x = 76,898,266.26
  5. Step 5: Solve for x
    x = 76,898,266.26/8,161.12
  6. Step 6: Final answer
    x = 9,422.51

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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.