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Finding the Fourth Proportional to 9,753.39, 13,456.85 and 5,504.22

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Solution

The fourth proportional to 9,753.39, 13,456.85 and 5,504.22 is: 7,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.39 : 13,456.85 = 5,504.22 : x
  2. Step 2: Convert to fraction form
    9,753.39/13,456.85 = 5,504.22/x
  3. Step 3: Cross multiply
    9,753.39x = 13,456.85 × 5,504.22
  4. Step 4: Simplify right side
    9,753.39x = 74,069,435.39
  5. Step 5: Solve for x
    x = 74,069,435.39/9,753.39
  6. Step 6: Final answer
    x = 7,594.22

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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.