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Finding the Fourth Proportional to 9,257.78, 12,775.89 and 6,609.69

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Solution

The fourth proportional to 9,257.78, 12,775.89 and 6,609.69 is: 9,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.78 : 12,775.89 = 6,609.69 : x
  2. Step 2: Convert to fraction form
    9,257.78/12,775.89 = 6,609.69/x
  3. Step 3: Cross multiply
    9,257.78x = 12,775.89 × 6,609.69
  4. Step 4: Simplify right side
    9,257.78x = 84,444,672.37
  5. Step 5: Solve for x
    x = 84,444,672.37/9,257.78
  6. Step 6: Final answer
    x = 9,121.48

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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.