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Finding the Fourth Proportional to 9,874.40, 13,626.27 and 5,398.21

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Solution

The fourth proportional to 9,874.40, 13,626.27 and 5,398.21 is: 7,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.40 : 13,626.27 = 5,398.21 : x
  2. Step 2: Convert to fraction form
    9,874.40/13,626.27 = 5,398.21/x
  3. Step 3: Cross multiply
    9,874.40x = 13,626.27 × 5,398.21
  4. Step 4: Simplify right side
    9,874.40x = 73,557,466.98
  5. Step 5: Solve for x
    x = 73,557,466.98/9,874.40
  6. Step 6: Final answer
    x = 7,449.31

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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.