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Finding the Fourth Proportional to 9,578.26, 13,219.26 and 5,387.32

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Solution

The fourth proportional to 9,578.26, 13,219.26 and 5,387.32 is: 7,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.26 : 13,219.26 = 5,387.32 : x
  2. Step 2: Convert to fraction form
    9,578.26/13,219.26 = 5,387.32/x
  3. Step 3: Cross multiply
    9,578.26x = 13,219.26 × 5,387.32
  4. Step 4: Simplify right side
    9,578.26x = 71,216,383.78
  5. Step 5: Solve for x
    x = 71,216,383.78/9,578.26
  6. Step 6: Final answer
    x = 7,435.21

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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.