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Finding the Fourth Proportional to 6,626.36, 9,920.64 and 5,144.06

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Solution

The fourth proportional to 6,626.36, 9,920.64 and 5,144.06 is: 7,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.36 : 9,920.64 = 5,144.06 : x
  2. Step 2: Convert to fraction form
    6,626.36/9,920.64 = 5,144.06/x
  3. Step 3: Cross multiply
    6,626.36x = 9,920.64 × 5,144.06
  4. Step 4: Simplify right side
    6,626.36x = 51,032,367.40
  5. Step 5: Solve for x
    x = 51,032,367.40/6,626.36
  6. Step 6: Final answer
    x = 7,701.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.