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Finding the Fourth Proportional to 6,539.07, 9,808.61 and 2,646.21

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Solution

The fourth proportional to 6,539.07, 9,808.61 and 2,646.21 is: 3,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.07 : 9,808.61 = 2,646.21 : x
  2. Step 2: Convert to fraction form
    6,539.07/9,808.61 = 2,646.21/x
  3. Step 3: Cross multiply
    6,539.07x = 9,808.61 × 2,646.21
  4. Step 4: Simplify right side
    6,539.07x = 25,955,635.25
  5. Step 5: Solve for x
    x = 25,955,635.25/6,539.07
  6. Step 6: Final answer
    x = 3,969.32

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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.