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Finding the Fourth Proportional to 9,816.22, 13,541.97 and 5,835.16

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Solution

The fourth proportional to 9,816.22, 13,541.97 and 5,835.16 is: 8,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.22 : 13,541.97 = 5,835.16 : x
  2. Step 2: Convert to fraction form
    9,816.22/13,541.97 = 5,835.16/x
  3. Step 3: Cross multiply
    9,816.22x = 13,541.97 × 5,835.16
  4. Step 4: Simplify right side
    9,816.22x = 79,019,561.67
  5. Step 5: Solve for x
    x = 79,019,561.67/9,816.22
  6. Step 6: Final answer
    x = 8,049.90

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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.