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Finding the Fourth Proportional to 9,207.86, 12,706.39 and 5,228.43

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Solution

The fourth proportional to 9,207.86, 12,706.39 and 5,228.43 is: 7,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.86 : 12,706.39 = 5,228.43 : x
  2. Step 2: Convert to fraction form
    9,207.86/12,706.39 = 5,228.43/x
  3. Step 3: Cross multiply
    9,207.86x = 12,706.39 × 5,228.43
  4. Step 4: Simplify right side
    9,207.86x = 66,434,470.67
  5. Step 5: Solve for x
    x = 66,434,470.67/9,207.86
  6. Step 6: Final answer
    x = 7,214.97

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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.