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Finding the Fourth Proportional to 6,539.60, 9,805.08 and 3,077.84

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Solution

The fourth proportional to 6,539.60, 9,805.08 and 3,077.84 is: 4,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.60 : 9,805.08 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    6,539.60/9,805.08 = 3,077.84/x
  3. Step 3: Cross multiply
    6,539.60x = 9,805.08 × 3,077.84
  4. Step 4: Simplify right side
    6,539.60x = 30,178,467.43
  5. Step 5: Solve for x
    x = 30,178,467.43/6,539.60
  6. Step 6: Final answer
    x = 4,614.73

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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.