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Finding the Fourth Proportional to 9,984.84, 13,776.06 and 5,792.28

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Solution

The fourth proportional to 9,984.84, 13,776.06 and 5,792.28 is: 7,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.84 : 13,776.06 = 5,792.28 : x
  2. Step 2: Convert to fraction form
    9,984.84/13,776.06 = 5,792.28/x
  3. Step 3: Cross multiply
    9,984.84x = 13,776.06 × 5,792.28
  4. Step 4: Simplify right side
    9,984.84x = 79,794,796.82
  5. Step 5: Solve for x
    x = 79,794,796.82/9,984.84
  6. Step 6: Final answer
    x = 7,991.59

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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.