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Finding the Fourth Proportional to 9,268.22, 12,800.53 and 6,278.87

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Solution

The fourth proportional to 9,268.22, 12,800.53 and 6,278.87 is: 8,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.22 : 12,800.53 = 6,278.87 : x
  2. Step 2: Convert to fraction form
    9,268.22/12,800.53 = 6,278.87/x
  3. Step 3: Cross multiply
    9,268.22x = 12,800.53 × 6,278.87
  4. Step 4: Simplify right side
    9,268.22x = 80,372,831.65
  5. Step 5: Solve for x
    x = 80,372,831.65/9,268.22
  6. Step 6: Final answer
    x = 8,671.87

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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.