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Finding the Fourth Proportional to 8,434.30, 12,659.19 and 4,277.20

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Solution

The fourth proportional to 8,434.30, 12,659.19 and 4,277.20 is: 6,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.30 : 12,659.19 = 4,277.20 : x
  2. Step 2: Convert to fraction form
    8,434.30/12,659.19 = 4,277.20/x
  3. Step 3: Cross multiply
    8,434.30x = 12,659.19 × 4,277.20
  4. Step 4: Simplify right side
    8,434.30x = 54,145,887.47
  5. Step 5: Solve for x
    x = 54,145,887.47/8,434.30
  6. Step 6: Final answer
    x = 6,419.73

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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.