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Finding the Fourth Proportional to 9,149.28, 12,626.25 and 5,170.31

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Solution

The fourth proportional to 9,149.28, 12,626.25 and 5,170.31 is: 7,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.28 : 12,626.25 = 5,170.31 : x
  2. Step 2: Convert to fraction form
    9,149.28/12,626.25 = 5,170.31/x
  3. Step 3: Cross multiply
    9,149.28x = 12,626.25 × 5,170.31
  4. Step 4: Simplify right side
    9,149.28x = 65,281,563.51
  5. Step 5: Solve for x
    x = 65,281,563.51/9,149.28
  6. Step 6: Final answer
    x = 7,135.16

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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.