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Finding the Fourth Proportional to 9,418.36, 12,998.38 and 5,440.76

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Solution

The fourth proportional to 9,418.36, 12,998.38 and 5,440.76 is: 7,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.36 : 12,998.38 = 5,440.76 : x
  2. Step 2: Convert to fraction form
    9,418.36/12,998.38 = 5,440.76/x
  3. Step 3: Cross multiply
    9,418.36x = 12,998.38 × 5,440.76
  4. Step 4: Simplify right side
    9,418.36x = 70,721,065.97
  5. Step 5: Solve for x
    x = 70,721,065.97/9,418.36
  6. Step 6: Final answer
    x = 7,508.85

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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.