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Finding the Fourth Proportional to 9,768.19, 14,652.24 and 2,372.62

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Solution

The fourth proportional to 9,768.19, 14,652.24 and 2,372.62 is: 3,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.19 : 14,652.24 = 2,372.62 : x
  2. Step 2: Convert to fraction form
    9,768.19/14,652.24 = 2,372.62/x
  3. Step 3: Cross multiply
    9,768.19x = 14,652.24 × 2,372.62
  4. Step 4: Simplify right side
    9,768.19x = 34,764,197.67
  5. Step 5: Solve for x
    x = 34,764,197.67/9,768.19
  6. Step 6: Final answer
    x = 3,558.92

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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.