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Finding the Fourth Proportional to 9,348.87, 14,020.25 and 3,107.20

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Solution

The fourth proportional to 9,348.87, 14,020.25 and 3,107.20 is: 4,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.87 : 14,020.25 = 3,107.20 : x
  2. Step 2: Convert to fraction form
    9,348.87/14,020.25 = 3,107.20/x
  3. Step 3: Cross multiply
    9,348.87x = 14,020.25 × 3,107.20
  4. Step 4: Simplify right side
    9,348.87x = 43,563,744.67
  5. Step 5: Solve for x
    x = 43,563,744.67/9,348.87
  6. Step 6: Final answer
    x = 4,659.79

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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.