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Finding the Fourth Proportional to 9,207.15, 12,698.82 and 6,218.25

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Solution

The fourth proportional to 9,207.15, 12,698.82 and 6,218.25 is: 8,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.15 : 12,698.82 = 6,218.25 : x
  2. Step 2: Convert to fraction form
    9,207.15/12,698.82 = 6,218.25/x
  3. Step 3: Cross multiply
    9,207.15x = 12,698.82 × 6,218.25
  4. Step 4: Simplify right side
    9,207.15x = 78,964,437.47
  5. Step 5: Solve for x
    x = 78,964,437.47/9,207.15
  6. Step 6: Final answer
    x = 8,576.43

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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.