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Finding the Fourth Proportional to 9,601.96, 14,391.96 and 4,047

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Solution

The fourth proportional to 9,601.96, 14,391.96 and 4,047 is: 6,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.96 : 14,391.96 = 4,047 : x
  2. Step 2: Convert to fraction form
    9,601.96/14,391.96 = 4,047/x
  3. Step 3: Cross multiply
    9,601.96x = 14,391.96 × 4,047
  4. Step 4: Simplify right side
    9,601.96x = 58,244,262.12
  5. Step 5: Solve for x
    x = 58,244,262.12/9,601.96
  6. Step 6: Final answer
    x = 6,065.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.