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Finding the Fourth Proportional to 9,767.72, 14,651.58 and 2,372.06

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Solution

The fourth proportional to 9,767.72, 14,651.58 and 2,372.06 is: 3,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.72 : 14,651.58 = 2,372.06 : x
  2. Step 2: Convert to fraction form
    9,767.72/14,651.58 = 2,372.06/x
  3. Step 3: Cross multiply
    9,767.72x = 14,651.58 × 2,372.06
  4. Step 4: Simplify right side
    9,767.72x = 34,754,353.60
  5. Step 5: Solve for x
    x = 34,754,353.60/9,767.72
  6. Step 6: Final answer
    x = 3,558.08

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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.