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Finding the Fourth Proportional to 9,884.14, 14,832.06 and 3,648.54

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Solution

The fourth proportional to 9,884.14, 14,832.06 and 3,648.54 is: 5,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.14 : 14,832.06 = 3,648.54 : x
  2. Step 2: Convert to fraction form
    9,884.14/14,832.06 = 3,648.54/x
  3. Step 3: Cross multiply
    9,884.14x = 14,832.06 × 3,648.54
  4. Step 4: Simplify right side
    9,884.14x = 54,115,364.19
  5. Step 5: Solve for x
    x = 54,115,364.19/9,884.14
  6. Step 6: Final answer
    x = 5,474.97

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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.