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Finding the Fourth Proportional to 6,539.63, 9,809.91 and 3,924.95

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Solution

The fourth proportional to 6,539.63, 9,809.91 and 3,924.95 is: 5,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.63 : 9,809.91 = 3,924.95 : x
  2. Step 2: Convert to fraction form
    6,539.63/9,809.91 = 3,924.95/x
  3. Step 3: Cross multiply
    6,539.63x = 9,809.91 × 3,924.95
  4. Step 4: Simplify right side
    6,539.63x = 38,503,357.20
  5. Step 5: Solve for x
    x = 38,503,357.20/6,539.63
  6. Step 6: Final answer
    x = 5,887.70

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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.