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Finding the Fourth Proportional to 8,309.36, 12,464.28 and 3,114.24

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Solution

The fourth proportional to 8,309.36, 12,464.28 and 3,114.24 is: 4,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.36 : 12,464.28 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    8,309.36/12,464.28 = 3,114.24/x
  3. Step 3: Cross multiply
    8,309.36x = 12,464.28 × 3,114.24
  4. Step 4: Simplify right side
    8,309.36x = 38,816,759.35
  5. Step 5: Solve for x
    x = 38,816,759.35/8,309.36
  6. Step 6: Final answer
    x = 4,671.45

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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.