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Finding the Fourth Proportional to 9,274.87, 12,796.83 and 5,295.19

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Solution

The fourth proportional to 9,274.87, 12,796.83 and 5,295.19 is: 7,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.87 : 12,796.83 = 5,295.19 : x
  2. Step 2: Convert to fraction form
    9,274.87/12,796.83 = 5,295.19/x
  3. Step 3: Cross multiply
    9,274.87x = 12,796.83 × 5,295.19
  4. Step 4: Simplify right side
    9,274.87x = 67,761,646.25
  5. Step 5: Solve for x
    x = 67,761,646.25/9,274.87
  6. Step 6: Final answer
    x = 7,305.94

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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.