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Finding the Fourth Proportional to 6,700.26, 9,247.74 and 4,462.24

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Solution

The fourth proportional to 6,700.26, 9,247.74 and 4,462.24 is: 6,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.26 : 9,247.74 = 4,462.24 : x
  2. Step 2: Convert to fraction form
    6,700.26/9,247.74 = 4,462.24/x
  3. Step 3: Cross multiply
    6,700.26x = 9,247.74 × 4,462.24
  4. Step 4: Simplify right side
    6,700.26x = 41,265,635.34
  5. Step 5: Solve for x
    x = 41,265,635.34/6,700.26
  6. Step 6: Final answer
    x = 6,158.81

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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.