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Finding the Fourth Proportional to 9,578.24, 13,218.35 and 5,799.26

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Solution

The fourth proportional to 9,578.24, 13,218.35 and 5,799.26 is: 8,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.24 : 13,218.35 = 5,799.26 : x
  2. Step 2: Convert to fraction form
    9,578.24/13,218.35 = 5,799.26/x
  3. Step 3: Cross multiply
    9,578.24x = 13,218.35 × 5,799.26
  4. Step 4: Simplify right side
    9,578.24x = 76,656,610.74
  5. Step 5: Solve for x
    x = 76,656,610.74/9,578.24
  6. Step 6: Final answer
    x = 8,003.21

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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.