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Finding the Fourth Proportional to 9,622, 14,434.08 and 4,431.52

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Solution

The fourth proportional to 9,622, 14,434.08 and 4,431.52 is: 6,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 14,434.08 = 4,431.52 : x
  2. Step 2: Convert to fraction form
    9,622/14,434.08 = 4,431.52/x
  3. Step 3: Cross multiply
    9,622x = 14,434.08 × 4,431.52
  4. Step 4: Simplify right side
    9,622x = 63,964,914.20
  5. Step 5: Solve for x
    x = 63,964,914.20/9,622
  6. Step 6: Final answer
    x = 6,647.78

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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.