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Finding the Fourth Proportional to 9,797.64, 14,691.24 and 3,222.96

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Solution

The fourth proportional to 9,797.64, 14,691.24 and 3,222.96 is: 4,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.64 : 14,691.24 = 3,222.96 : x
  2. Step 2: Convert to fraction form
    9,797.64/14,691.24 = 3,222.96/x
  3. Step 3: Cross multiply
    9,797.64x = 14,691.24 × 3,222.96
  4. Step 4: Simplify right side
    9,797.64x = 47,349,278.87
  5. Step 5: Solve for x
    x = 47,349,278.87/9,797.64
  6. Step 6: Final answer
    x = 4,832.72

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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.