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Finding the Fourth Proportional to 9,750.90, 14,626.34 and 3,177.08

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Solution

The fourth proportional to 9,750.90, 14,626.34 and 3,177.08 is: 4,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.90 : 14,626.34 = 3,177.08 : x
  2. Step 2: Convert to fraction form
    9,750.90/14,626.34 = 3,177.08/x
  3. Step 3: Cross multiply
    9,750.90x = 14,626.34 × 3,177.08
  4. Step 4: Simplify right side
    9,750.90x = 46,469,052.29
  5. Step 5: Solve for x
    x = 46,469,052.29/9,750.90
  6. Step 6: Final answer
    x = 4,765.62

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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.