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Finding the Fourth Proportional to 9,229.25, 12,736.64 and 5,037.77

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Solution

The fourth proportional to 9,229.25, 12,736.64 and 5,037.77 is: 6,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.25 : 12,736.64 = 5,037.77 : x
  2. Step 2: Convert to fraction form
    9,229.25/12,736.64 = 5,037.77/x
  3. Step 3: Cross multiply
    9,229.25x = 12,736.64 × 5,037.77
  4. Step 4: Simplify right side
    9,229.25x = 64,164,262.89
  5. Step 5: Solve for x
    x = 64,164,262.89/9,229.25
  6. Step 6: Final answer
    x = 6,952.27

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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.