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Finding the Fourth Proportional to 9,327.78, 12,863.88 and 6,178.50

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Solution

The fourth proportional to 9,327.78, 12,863.88 and 6,178.50 is: 8,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.78 : 12,863.88 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    9,327.78/12,863.88 = 6,178.50/x
  3. Step 3: Cross multiply
    9,327.78x = 12,863.88 × 6,178.50
  4. Step 4: Simplify right side
    9,327.78x = 79,479,482.58
  5. Step 5: Solve for x
    x = 79,479,482.58/9,327.78
  6. Step 6: Final answer
    x = 8,520.73

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