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Finding the Fourth Proportional to 6,526.31, 9,003.29 and 3,836.63

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Solution

The fourth proportional to 6,526.31, 9,003.29 and 3,836.63 is: 5,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.31 : 9,003.29 = 3,836.63 : x
  2. Step 2: Convert to fraction form
    6,526.31/9,003.29 = 3,836.63/x
  3. Step 3: Cross multiply
    6,526.31x = 9,003.29 × 3,836.63
  4. Step 4: Simplify right side
    6,526.31x = 34,542,295.84
  5. Step 5: Solve for x
    x = 34,542,295.84/6,526.31
  6. Step 6: Final answer
    x = 5,292.78

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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.