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Finding the Fourth Proportional to 9,257.94, 12,776.25 and 5,066.34

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Solution

The fourth proportional to 9,257.94, 12,776.25 and 5,066.34 is: 6,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.94 : 12,776.25 = 5,066.34 : x
  2. Step 2: Convert to fraction form
    9,257.94/12,776.25 = 5,066.34/x
  3. Step 3: Cross multiply
    9,257.94x = 12,776.25 × 5,066.34
  4. Step 4: Simplify right side
    9,257.94x = 64,728,826.43
  5. Step 5: Solve for x
    x = 64,728,826.43/9,257.94
  6. Step 6: Final answer
    x = 6,991.71

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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.