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Finding the Fourth Proportional to 9,207.86, 12,707 and 5,229.08

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Solution

The fourth proportional to 9,207.86, 12,707 and 5,229.08 is: 7,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.86 : 12,707 = 5,229.08 : x
  2. Step 2: Convert to fraction form
    9,207.86/12,707 = 5,229.08/x
  3. Step 3: Cross multiply
    9,207.86x = 12,707 × 5,229.08
  4. Step 4: Simplify right side
    9,207.86x = 66,445,919.56
  5. Step 5: Solve for x
    x = 66,445,919.56/9,207.86
  6. Step 6: Final answer
    x = 7,216.22

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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.