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Finding the Fourth Proportional to 6,169.28, 9,263.56 and 3,574

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Solution

The fourth proportional to 6,169.28, 9,263.56 and 3,574 is: 5,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.28 : 9,263.56 = 3,574 : x
  2. Step 2: Convert to fraction form
    6,169.28/9,263.56 = 3,574/x
  3. Step 3: Cross multiply
    6,169.28x = 9,263.56 × 3,574
  4. Step 4: Simplify right side
    6,169.28x = 33,107,963.44
  5. Step 5: Solve for x
    x = 33,107,963.44/6,169.28
  6. Step 6: Final answer
    x = 5,366.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.