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Finding the Fourth Proportional to 9,817.20, 13,539.95 and 6,940.84

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Solution

The fourth proportional to 9,817.20, 13,539.95 and 6,940.84 is: 9,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.20 : 13,539.95 = 6,940.84 : x
  2. Step 2: Convert to fraction form
    9,817.20/13,539.95 = 6,940.84/x
  3. Step 3: Cross multiply
    9,817.20x = 13,539.95 × 6,940.84
  4. Step 4: Simplify right side
    9,817.20x = 93,978,626.56
  5. Step 5: Solve for x
    x = 93,978,626.56/9,817.20
  6. Step 6: Final answer
    x = 9,572.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.