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Finding the Fourth Proportional to 6,422.59, 9,634.47 and 2,526.09

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Solution

The fourth proportional to 6,422.59, 9,634.47 and 2,526.09 is: 3,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.59 : 9,634.47 = 2,526.09 : x
  2. Step 2: Convert to fraction form
    6,422.59/9,634.47 = 2,526.09/x
  3. Step 3: Cross multiply
    6,422.59x = 9,634.47 × 2,526.09
  4. Step 4: Simplify right side
    6,422.59x = 24,337,538.32
  5. Step 5: Solve for x
    x = 24,337,538.32/6,422.59
  6. Step 6: Final answer
    x = 3,789.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.