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Finding the Fourth Proportional to 9,839.40, 13,577.40 and 5,806.14

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Solution

The fourth proportional to 9,839.40, 13,577.40 and 5,806.14 is: 8,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.40 : 13,577.40 = 5,806.14 : x
  2. Step 2: Convert to fraction form
    9,839.40/13,577.40 = 5,806.14/x
  3. Step 3: Cross multiply
    9,839.40x = 13,577.40 × 5,806.14
  4. Step 4: Simplify right side
    9,839.40x = 78,832,285.24
  5. Step 5: Solve for x
    x = 78,832,285.24/9,839.40
  6. Step 6: Final answer
    x = 8,011.90

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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.