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Finding the Fourth Proportional to 6,539.95, 9,809.83 and 1,609.63

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Solution

The fourth proportional to 6,539.95, 9,809.83 and 1,609.63 is: 2,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.95 : 9,809.83 = 1,609.63 : x
  2. Step 2: Convert to fraction form
    6,539.95/9,809.83 = 1,609.63/x
  3. Step 3: Cross multiply
    6,539.95x = 9,809.83 × 1,609.63
  4. Step 4: Simplify right side
    6,539.95x = 15,790,196.66
  5. Step 5: Solve for x
    x = 15,790,196.66/6,539.95
  6. Step 6: Final answer
    x = 2,414.42

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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.