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Finding the Fourth Proportional to 9,822.84, 13,554.84 and 5,844.24

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Solution

The fourth proportional to 9,822.84, 13,554.84 and 5,844.24 is: 8,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.84 : 13,554.84 = 5,844.24 : x
  2. Step 2: Convert to fraction form
    9,822.84/13,554.84 = 5,844.24/x
  3. Step 3: Cross multiply
    9,822.84x = 13,554.84 × 5,844.24
  4. Step 4: Simplify right side
    9,822.84x = 79,217,738.12
  5. Step 5: Solve for x
    x = 79,217,738.12/9,822.84
  6. Step 6: Final answer
    x = 8,064.65

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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.