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Finding the Fourth Proportional to 9,488, 13,092.44 and 5,508.33

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Solution

The fourth proportional to 9,488, 13,092.44 and 5,508.33 is: 7,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488 : 13,092.44 = 5,508.33 : x
  2. Step 2: Convert to fraction form
    9,488/13,092.44 = 5,508.33/x
  3. Step 3: Cross multiply
    9,488x = 13,092.44 × 5,508.33
  4. Step 4: Simplify right side
    9,488x = 72,117,480.03
  5. Step 5: Solve for x
    x = 72,117,480.03/9,488
  6. Step 6: Final answer
    x = 7,600.91

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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.