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Finding the Fourth Proportional to 7,066.20, 9,745.50 and 5,301.72

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Solution

The fourth proportional to 7,066.20, 9,745.50 and 5,301.72 is: 7,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.20 : 9,745.50 = 5,301.72 : x
  2. Step 2: Convert to fraction form
    7,066.20/9,745.50 = 5,301.72/x
  3. Step 3: Cross multiply
    7,066.20x = 9,745.50 × 5,301.72
  4. Step 4: Simplify right side
    7,066.20x = 51,667,912.26
  5. Step 5: Solve for x
    x = 51,667,912.26/7,066.20
  6. Step 6: Final answer
    x = 7,311.98

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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.