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Finding the Fourth Proportional to 9,984.87, 13,776.08 and 5,792.31

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Solution

The fourth proportional to 9,984.87, 13,776.08 and 5,792.31 is: 7,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.87 : 13,776.08 = 5,792.31 : x
  2. Step 2: Convert to fraction form
    9,984.87/13,776.08 = 5,792.31/x
  3. Step 3: Cross multiply
    9,984.87x = 13,776.08 × 5,792.31
  4. Step 4: Simplify right side
    9,984.87x = 79,795,296.98
  5. Step 5: Solve for x
    x = 79,795,296.98/9,984.87
  6. Step 6: Final answer
    x = 7,991.62

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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.