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Finding the Fourth Proportional to 6,539.30, 9,809.55 and 2,642.90

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Solution

The fourth proportional to 6,539.30, 9,809.55 and 2,642.90 is: 3,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.30 : 9,809.55 = 2,642.90 : x
  2. Step 2: Convert to fraction form
    6,539.30/9,809.55 = 2,642.90/x
  3. Step 3: Cross multiply
    6,539.30x = 9,809.55 × 2,642.90
  4. Step 4: Simplify right side
    6,539.30x = 25,925,659.70
  5. Step 5: Solve for x
    x = 25,925,659.70/6,539.30
  6. Step 6: Final answer
    x = 3,964.59

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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.