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Finding the Fourth Proportional to 9,767.87, 14,648.77 and 3,527.07

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Solution

The fourth proportional to 9,767.87, 14,648.77 and 3,527.07 is: 5,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.87 : 14,648.77 = 3,527.07 : x
  2. Step 2: Convert to fraction form
    9,767.87/14,648.77 = 3,527.07/x
  3. Step 3: Cross multiply
    9,767.87x = 14,648.77 × 3,527.07
  4. Step 4: Simplify right side
    9,767.87x = 51,667,237.20
  5. Step 5: Solve for x
    x = 51,667,237.20/9,767.87
  6. Step 6: Final answer
    x = 5,289.51

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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.