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Finding the Fourth Proportional to 6,164.01, 9,237.22 and 4,753.09

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Solution

The fourth proportional to 6,164.01, 9,237.22 and 4,753.09 is: 7,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.01 : 9,237.22 = 4,753.09 : x
  2. Step 2: Convert to fraction form
    6,164.01/9,237.22 = 4,753.09/x
  3. Step 3: Cross multiply
    6,164.01x = 9,237.22 × 4,753.09
  4. Step 4: Simplify right side
    6,164.01x = 43,905,338.01
  5. Step 5: Solve for x
    x = 43,905,338.01/6,164.01
  6. Step 6: Final answer
    x = 7,122.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.