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Finding the Fourth Proportional to 9,626.96, 14,443.32 and 4,432.88

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Solution

The fourth proportional to 9,626.96, 14,443.32 and 4,432.88 is: 6,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.96 : 14,443.32 = 4,432.88 : x
  2. Step 2: Convert to fraction form
    9,626.96/14,443.32 = 4,432.88/x
  3. Step 3: Cross multiply
    9,626.96x = 14,443.32 × 4,432.88
  4. Step 4: Simplify right side
    9,626.96x = 64,025,504.36
  5. Step 5: Solve for x
    x = 64,025,504.36/9,626.96
  6. Step 6: Final answer
    x = 6,650.65

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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.