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Finding the Fourth Proportional to 9,313.38, 12,853.77 and 5,777.73

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Solution

The fourth proportional to 9,313.38, 12,853.77 and 5,777.73 is: 7,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.38 : 12,853.77 = 5,777.73 : x
  2. Step 2: Convert to fraction form
    9,313.38/12,853.77 = 5,777.73/x
  3. Step 3: Cross multiply
    9,313.38x = 12,853.77 × 5,777.73
  4. Step 4: Simplify right side
    9,313.38x = 74,265,612.54
  5. Step 5: Solve for x
    x = 74,265,612.54/9,313.38
  6. Step 6: Final answer
    x = 7,974.08

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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.