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Finding the Fourth Proportional to 9,641.37, 14,463.68 and 3,069.57

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Solution

The fourth proportional to 9,641.37, 14,463.68 and 3,069.57 is: 4,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.37 : 14,463.68 = 3,069.57 : x
  2. Step 2: Convert to fraction form
    9,641.37/14,463.68 = 3,069.57/x
  3. Step 3: Cross multiply
    9,641.37x = 14,463.68 × 3,069.57
  4. Step 4: Simplify right side
    9,641.37x = 44,397,262.87
  5. Step 5: Solve for x
    x = 44,397,262.87/9,641.37
  6. Step 6: Final answer
    x = 4,604.87

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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.