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Finding the Fourth Proportional to 9,822.41, 13,554.97 and 5,346.16

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Solution

The fourth proportional to 9,822.41, 13,554.97 and 5,346.16 is: 7,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.41 : 13,554.97 = 5,346.16 : x
  2. Step 2: Convert to fraction form
    9,822.41/13,554.97 = 5,346.16/x
  3. Step 3: Cross multiply
    9,822.41x = 13,554.97 × 5,346.16
  4. Step 4: Simplify right side
    9,822.41x = 72,466,991.16
  5. Step 5: Solve for x
    x = 72,466,991.16/9,822.41
  6. Step 6: Final answer
    x = 7,377.72

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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.