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Finding the Fourth Proportional to 9,198.02, 12,693.91 and 5,220.11

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Solution

The fourth proportional to 9,198.02, 12,693.91 and 5,220.11 is: 7,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.02 : 12,693.91 = 5,220.11 : x
  2. Step 2: Convert to fraction form
    9,198.02/12,693.91 = 5,220.11/x
  3. Step 3: Cross multiply
    9,198.02x = 12,693.91 × 5,220.11
  4. Step 4: Simplify right side
    9,198.02x = 66,263,606.53
  5. Step 5: Solve for x
    x = 66,263,606.53/9,198.02
  6. Step 6: Final answer
    x = 7,204.12

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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.