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Finding the Fourth Proportional to 9,257.76, 12,762.42 and 6,600.56

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Solution

The fourth proportional to 9,257.76, 12,762.42 and 6,600.56 is: 9,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.76 : 12,762.42 = 6,600.56 : x
  2. Step 2: Convert to fraction form
    9,257.76/12,762.42 = 6,600.56/x
  3. Step 3: Cross multiply
    9,257.76x = 12,762.42 × 6,600.56
  4. Step 4: Simplify right side
    9,257.76x = 84,239,118.96
  5. Step 5: Solve for x
    x = 84,239,118.96/9,257.76
  6. Step 6: Final answer
    x = 9,099.30

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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.