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Finding the Fourth Proportional to 6,626.80, 9,139.62 and 4,107.16

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Solution

The fourth proportional to 6,626.80, 9,139.62 and 4,107.16 is: 5,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.80 : 9,139.62 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    6,626.80/9,139.62 = 4,107.16/x
  3. Step 3: Cross multiply
    6,626.80x = 9,139.62 × 4,107.16
  4. Step 4: Simplify right side
    6,626.80x = 37,537,881.68
  5. Step 5: Solve for x
    x = 37,537,881.68/6,626.80
  6. Step 6: Final answer
    x = 5,664.56

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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.