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Finding the Fourth Proportional to 6,959.63, 9,604.49 and 3,816.02

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Solution

The fourth proportional to 6,959.63, 9,604.49 and 3,816.02 is: 5,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.63 : 9,604.49 = 3,816.02 : x
  2. Step 2: Convert to fraction form
    6,959.63/9,604.49 = 3,816.02/x
  3. Step 3: Cross multiply
    6,959.63x = 9,604.49 × 3,816.02
  4. Step 4: Simplify right side
    6,959.63x = 36,650,858.83
  5. Step 5: Solve for x
    x = 36,650,858.83/6,959.63
  6. Step 6: Final answer
    x = 5,266.21

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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.