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Finding the Fourth Proportional to 6,436.26, 9,655.34 and 2,539.62

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Solution

The fourth proportional to 6,436.26, 9,655.34 and 2,539.62 is: 3,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.26 : 9,655.34 = 2,539.62 : x
  2. Step 2: Convert to fraction form
    6,436.26/9,655.34 = 2,539.62/x
  3. Step 3: Cross multiply
    6,436.26x = 9,655.34 × 2,539.62
  4. Step 4: Simplify right side
    6,436.26x = 24,520,881.87
  5. Step 5: Solve for x
    x = 24,520,881.87/6,436.26
  6. Step 6: Final answer
    x = 3,809.80

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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.