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Finding the Fourth Proportional to 6,363.88, 9,546.44 and 2,362.34

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Solution

The fourth proportional to 6,363.88, 9,546.44 and 2,362.34 is: 3,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.88 : 9,546.44 = 2,362.34 : x
  2. Step 2: Convert to fraction form
    6,363.88/9,546.44 = 2,362.34/x
  3. Step 3: Cross multiply
    6,363.88x = 9,546.44 × 2,362.34
  4. Step 4: Simplify right side
    6,363.88x = 22,551,937.07
  5. Step 5: Solve for x
    x = 22,551,937.07/6,363.88
  6. Step 6: Final answer
    x = 3,543.74

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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.