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Finding the Fourth Proportional to 6,822.73, 10,174.74 and 6,066.76

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Solution

The fourth proportional to 6,822.73, 10,174.74 and 6,066.76 is: 9,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.73 : 10,174.74 = 6,066.76 : x
  2. Step 2: Convert to fraction form
    6,822.73/10,174.74 = 6,066.76/x
  3. Step 3: Cross multiply
    6,822.73x = 10,174.74 × 6,066.76
  4. Step 4: Simplify right side
    6,822.73x = 61,727,705.64
  5. Step 5: Solve for x
    x = 61,727,705.64/6,822.73
  6. Step 6: Final answer
    x = 9,047.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.