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Finding the Fourth Proportional to 9,789.26, 13,509.26 and 5,540.32

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Solution

The fourth proportional to 9,789.26, 13,509.26 and 5,540.32 is: 7,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.26 : 13,509.26 = 5,540.32 : x
  2. Step 2: Convert to fraction form
    9,789.26/13,509.26 = 5,540.32/x
  3. Step 3: Cross multiply
    9,789.26x = 13,509.26 × 5,540.32
  4. Step 4: Simplify right side
    9,789.26x = 74,845,655.74
  5. Step 5: Solve for x
    x = 74,845,655.74/9,789.26
  6. Step 6: Final answer
    x = 7,645.69

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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.