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Finding the Fourth Proportional to 9,768.16, 14,652.04 and 2,372.66

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Solution

The fourth proportional to 9,768.16, 14,652.04 and 2,372.66 is: 3,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.16 : 14,652.04 = 2,372.66 : x
  2. Step 2: Convert to fraction form
    9,768.16/14,652.04 = 2,372.66/x
  3. Step 3: Cross multiply
    9,768.16x = 14,652.04 × 2,372.66
  4. Step 4: Simplify right side
    9,768.16x = 34,764,289.43
  5. Step 5: Solve for x
    x = 34,764,289.43/9,768.16
  6. Step 6: Final answer
    x = 3,558.94

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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.