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Finding the Fourth Proportional to 6,424.85, 9,626.85 and 3,300.53

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Solution

The fourth proportional to 6,424.85, 9,626.85 and 3,300.53 is: 4,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.85 : 9,626.85 = 3,300.53 : x
  2. Step 2: Convert to fraction form
    6,424.85/9,626.85 = 3,300.53/x
  3. Step 3: Cross multiply
    6,424.85x = 9,626.85 × 3,300.53
  4. Step 4: Simplify right side
    6,424.85x = 31,773,659.10
  5. Step 5: Solve for x
    x = 31,773,659.10/6,424.85
  6. Step 6: Final answer
    x = 4,945.43

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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.