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Finding the Fourth Proportional to 9,238.29, 12,748.85 and 5,046.54

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Solution

The fourth proportional to 9,238.29, 12,748.85 and 5,046.54 is: 6,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.29 : 12,748.85 = 5,046.54 : x
  2. Step 2: Convert to fraction form
    9,238.29/12,748.85 = 5,046.54/x
  3. Step 3: Cross multiply
    9,238.29x = 12,748.85 × 5,046.54
  4. Step 4: Simplify right side
    9,238.29x = 64,337,581.48
  5. Step 5: Solve for x
    x = 64,337,581.48/9,238.29
  6. Step 6: Final answer
    x = 6,964.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.