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Finding the Fourth Proportional to 9,832.48, 14,748.24 and 3,676

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Solution

The fourth proportional to 9,832.48, 14,748.24 and 3,676 is: 5,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.48 : 14,748.24 = 3,676 : x
  2. Step 2: Convert to fraction form
    9,832.48/14,748.24 = 3,676/x
  3. Step 3: Cross multiply
    9,832.48x = 14,748.24 × 3,676
  4. Step 4: Simplify right side
    9,832.48x = 54,214,530.24
  5. Step 5: Solve for x
    x = 54,214,530.24/9,832.48
  6. Step 6: Final answer
    x = 5,513.82

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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.