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Finding the Fourth Proportional to 9,767.88, 14,651.62 and 2,372.38

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Solution

The fourth proportional to 9,767.88, 14,651.62 and 2,372.38 is: 3,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.88 : 14,651.62 = 2,372.38 : x
  2. Step 2: Convert to fraction form
    9,767.88/14,651.62 = 2,372.38/x
  3. Step 3: Cross multiply
    9,767.88x = 14,651.62 × 2,372.38
  4. Step 4: Simplify right side
    9,767.88x = 34,759,167.70
  5. Step 5: Solve for x
    x = 34,759,167.70/9,767.88
  6. Step 6: Final answer
    x = 3,558.52

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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.