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Finding the Fourth Proportional to 9,322.68, 12,867 and 6,178.80

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Solution

The fourth proportional to 9,322.68, 12,867 and 6,178.80 is: 8,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.68 : 12,867 = 6,178.80 : x
  2. Step 2: Convert to fraction form
    9,322.68/12,867 = 6,178.80/x
  3. Step 3: Cross multiply
    9,322.68x = 12,867 × 6,178.80
  4. Step 4: Simplify right side
    9,322.68x = 79,502,619.60
  5. Step 5: Solve for x
    x = 79,502,619.60/9,322.68
  6. Step 6: Final answer
    x = 8,527.87

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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.