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Finding the Fourth Proportional to 9,874.31, 13,626.51 and 5,398.06

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Solution

The fourth proportional to 9,874.31, 13,626.51 and 5,398.06 is: 7,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.31 : 13,626.51 = 5,398.06 : x
  2. Step 2: Convert to fraction form
    9,874.31/13,626.51 = 5,398.06/x
  3. Step 3: Cross multiply
    9,874.31x = 13,626.51 × 5,398.06
  4. Step 4: Simplify right side
    9,874.31x = 73,556,718.57
  5. Step 5: Solve for x
    x = 73,556,718.57/9,874.31
  6. Step 6: Final answer
    x = 7,449.30

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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.