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Finding the Fourth Proportional to 9,622.74, 14,435.87 and 3,380.88

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Solution

The fourth proportional to 9,622.74, 14,435.87 and 3,380.88 is: 5,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.74 : 14,435.87 = 3,380.88 : x
  2. Step 2: Convert to fraction form
    9,622.74/14,435.87 = 3,380.88/x
  3. Step 3: Cross multiply
    9,622.74x = 14,435.87 × 3,380.88
  4. Step 4: Simplify right side
    9,622.74x = 48,805,927.26
  5. Step 5: Solve for x
    x = 48,805,927.26/9,622.74
  6. Step 6: Final answer
    x = 5,071.94

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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.