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Finding the Fourth Proportional to 9,217.75, 12,698.27 and 7,328.73

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Solution

The fourth proportional to 9,217.75, 12,698.27 and 7,328.73 is: 10,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.75 : 12,698.27 = 7,328.73 : x
  2. Step 2: Convert to fraction form
    9,217.75/12,698.27 = 7,328.73/x
  3. Step 3: Cross multiply
    9,217.75x = 12,698.27 × 7,328.73
  4. Step 4: Simplify right side
    9,217.75x = 93,062,159.33
  5. Step 5: Solve for x
    x = 93,062,159.33/9,217.75
  6. Step 6: Final answer
    x = 10,095.97

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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.