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Finding the Fourth Proportional to 9,755.95, 13,462.74 and 5,722.22

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Solution

The fourth proportional to 9,755.95, 13,462.74 and 5,722.22 is: 7,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.95 : 13,462.74 = 5,722.22 : x
  2. Step 2: Convert to fraction form
    9,755.95/13,462.74 = 5,722.22/x
  3. Step 3: Cross multiply
    9,755.95x = 13,462.74 × 5,722.22
  4. Step 4: Simplify right side
    9,755.95x = 77,036,793.74
  5. Step 5: Solve for x
    x = 77,036,793.74/9,755.95
  6. Step 6: Final answer
    x = 7,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.