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Finding the Fourth Proportional to 6,887.98, 9,505.70 and 3,903.78

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Solution

The fourth proportional to 6,887.98, 9,505.70 and 3,903.78 is: 5,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.98 : 9,505.70 = 3,903.78 : x
  2. Step 2: Convert to fraction form
    6,887.98/9,505.70 = 3,903.78/x
  3. Step 3: Cross multiply
    6,887.98x = 9,505.70 × 3,903.78
  4. Step 4: Simplify right side
    6,887.98x = 37,108,161.55
  5. Step 5: Solve for x
    x = 37,108,161.55/6,887.98
  6. Step 6: Final answer
    x = 5,387.38

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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.