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Finding the Fourth Proportional to 9,049.96, 12,494.07 and 6,921.46

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Solution

The fourth proportional to 9,049.96, 12,494.07 and 6,921.46 is: 9,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.96 : 12,494.07 = 6,921.46 : x
  2. Step 2: Convert to fraction form
    9,049.96/12,494.07 = 6,921.46/x
  3. Step 3: Cross multiply
    9,049.96x = 12,494.07 × 6,921.46
  4. Step 4: Simplify right side
    9,049.96x = 86,477,205.74
  5. Step 5: Solve for x
    x = 86,477,205.74/9,049.96
  6. Step 6: Final answer
    x = 9,555.53

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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.