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Finding the Fourth Proportional to 9,767.48, 14,651.08 and 2,372

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Solution

The fourth proportional to 9,767.48, 14,651.08 and 2,372 is: 3,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.48 : 14,651.08 = 2,372 : x
  2. Step 2: Convert to fraction form
    9,767.48/14,651.08 = 2,372/x
  3. Step 3: Cross multiply
    9,767.48x = 14,651.08 × 2,372
  4. Step 4: Simplify right side
    9,767.48x = 34,752,361.76
  5. Step 5: Solve for x
    x = 34,752,361.76/9,767.48
  6. Step 6: Final answer
    x = 3,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.