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Finding the Fourth Proportional to 9,244.96, 12,757.76 and 5,266.64

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Solution

The fourth proportional to 9,244.96, 12,757.76 and 5,266.64 is: 7,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.96 : 12,757.76 = 5,266.64 : x
  2. Step 2: Convert to fraction form
    9,244.96/12,757.76 = 5,266.64/x
  3. Step 3: Cross multiply
    9,244.96x = 12,757.76 × 5,266.64
  4. Step 4: Simplify right side
    9,244.96x = 67,190,529.13
  5. Step 5: Solve for x
    x = 67,190,529.13/9,244.96
  6. Step 6: Final answer
    x = 7,267.80

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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.