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Finding the Fourth Proportional to 9,970.16, 13,759.74 and 5,991.17

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Solution

The fourth proportional to 9,970.16, 13,759.74 and 5,991.17 is: 8,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.16 : 13,759.74 = 5,991.17 : x
  2. Step 2: Convert to fraction form
    9,970.16/13,759.74 = 5,991.17/x
  3. Step 3: Cross multiply
    9,970.16x = 13,759.74 × 5,991.17
  4. Step 4: Simplify right side
    9,970.16x = 82,436,872.70
  5. Step 5: Solve for x
    x = 82,436,872.70/9,970.16
  6. Step 6: Final answer
    x = 8,268.36

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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.