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Finding the Fourth Proportional to 6,539.90, 9,814.16 and 3,905.46

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Solution

The fourth proportional to 6,539.90, 9,814.16 and 3,905.46 is: 5,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.90 : 9,814.16 = 3,905.46 : x
  2. Step 2: Convert to fraction form
    6,539.90/9,814.16 = 3,905.46/x
  3. Step 3: Cross multiply
    6,539.90x = 9,814.16 × 3,905.46
  4. Step 4: Simplify right side
    6,539.90x = 38,328,819.08
  5. Step 5: Solve for x
    x = 38,328,819.08/6,539.90
  6. Step 6: Final answer
    x = 5,860.77

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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.