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Finding the Fourth Proportional to 9,207.30, 12,707.10 and 6,229.20

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Solution

The fourth proportional to 9,207.30, 12,707.10 and 6,229.20 is: 8,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.30 : 12,707.10 = 6,229.20 : x
  2. Step 2: Convert to fraction form
    9,207.30/12,707.10 = 6,229.20/x
  3. Step 3: Cross multiply
    9,207.30x = 12,707.10 × 6,229.20
  4. Step 4: Simplify right side
    9,207.30x = 79,155,067.32
  5. Step 5: Solve for x
    x = 79,155,067.32/9,207.30
  6. Step 6: Final answer
    x = 8,596.99

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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.