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Finding the Fourth Proportional to 9,817.84, 14,728.44 and 6,991.16

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Solution

The fourth proportional to 9,817.84, 14,728.44 and 6,991.16 is: 10,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.84 : 14,728.44 = 6,991.16 : x
  2. Step 2: Convert to fraction form
    9,817.84/14,728.44 = 6,991.16/x
  3. Step 3: Cross multiply
    9,817.84x = 14,728.44 × 6,991.16
  4. Step 4: Simplify right side
    9,817.84x = 102,968,880.59
  5. Step 5: Solve for x
    x = 102,968,880.59/9,817.84
  6. Step 6: Final answer
    x = 10,487.94

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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.