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Finding the Fourth Proportional to 9,632.26, 14,464.86 and 5,956.21

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Solution

The fourth proportional to 9,632.26, 14,464.86 and 5,956.21 is: 8,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.26 : 14,464.86 = 5,956.21 : x
  2. Step 2: Convert to fraction form
    9,632.26/14,464.86 = 5,956.21/x
  3. Step 3: Cross multiply
    9,632.26x = 14,464.86 × 5,956.21
  4. Step 4: Simplify right side
    9,632.26x = 86,155,743.78
  5. Step 5: Solve for x
    x = 86,155,743.78/9,632.26
  6. Step 6: Final answer
    x = 8,944.50

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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.