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Finding the Fourth Proportional to 9,257.82, 12,762.51 and 6,600.62

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Solution

The fourth proportional to 9,257.82, 12,762.51 and 6,600.62 is: 9,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.82 : 12,762.51 = 6,600.62 : x
  2. Step 2: Convert to fraction form
    9,257.82/12,762.51 = 6,600.62/x
  3. Step 3: Cross multiply
    9,257.82x = 12,762.51 × 6,600.62
  4. Step 4: Simplify right side
    9,257.82x = 84,240,414.94
  5. Step 5: Solve for x
    x = 84,240,414.94/9,257.82
  6. Step 6: Final answer
    x = 9,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.