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Finding the Fourth Proportional to 9,245.22, 12,758.22 and 5,266.23

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Solution

The fourth proportional to 9,245.22, 12,758.22 and 5,266.23 is: 7,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.22 : 12,758.22 = 5,266.23 : x
  2. Step 2: Convert to fraction form
    9,245.22/12,758.22 = 5,266.23/x
  3. Step 3: Cross multiply
    9,245.22x = 12,758.22 × 5,266.23
  4. Step 4: Simplify right side
    9,245.22x = 67,187,720.91
  5. Step 5: Solve for x
    x = 67,187,720.91/9,245.22
  6. Step 6: Final answer
    x = 7,267.29

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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.