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Finding the Fourth Proportional to 6,629.66, 9,947.20 and 4,260.40

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Solution

The fourth proportional to 6,629.66, 9,947.20 and 4,260.40 is: 6,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.66 : 9,947.20 = 4,260.40 : x
  2. Step 2: Convert to fraction form
    6,629.66/9,947.20 = 4,260.40/x
  3. Step 3: Cross multiply
    6,629.66x = 9,947.20 × 4,260.40
  4. Step 4: Simplify right side
    6,629.66x = 42,379,011.37
  5. Step 5: Solve for x
    x = 42,379,011.37/6,629.66
  6. Step 6: Final answer
    x = 6,392.33

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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.