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Finding the Fourth Proportional to 9,749.87, 14,626.07 and 3,173.82

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Solution

The fourth proportional to 9,749.87, 14,626.07 and 3,173.82 is: 4,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.87 : 14,626.07 = 3,173.82 : x
  2. Step 2: Convert to fraction form
    9,749.87/14,626.07 = 3,173.82/x
  3. Step 3: Cross multiply
    9,749.87x = 14,626.07 × 3,173.82
  4. Step 4: Simplify right side
    9,749.87x = 46,420,454.67
  5. Step 5: Solve for x
    x = 46,420,454.67/9,749.87
  6. Step 6: Final answer
    x = 4,761.14

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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.