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Finding the Fourth Proportional to 8,178.78, 12,238.89 and 6,429.18

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Solution

The fourth proportional to 8,178.78, 12,238.89 and 6,429.18 is: 9,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.78 : 12,238.89 = 6,429.18 : x
  2. Step 2: Convert to fraction form
    8,178.78/12,238.89 = 6,429.18/x
  3. Step 3: Cross multiply
    8,178.78x = 12,238.89 × 6,429.18
  4. Step 4: Simplify right side
    8,178.78x = 78,686,026.81
  5. Step 5: Solve for x
    x = 78,686,026.81/8,178.78
  6. Step 6: Final answer
    x = 9,620.75

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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.