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Finding the Fourth Proportional to 6,794.28, 9,352 and 5,022.80

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Solution

The fourth proportional to 6,794.28, 9,352 and 5,022.80 is: 6,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.28 : 9,352 = 5,022.80 : x
  2. Step 2: Convert to fraction form
    6,794.28/9,352 = 5,022.80/x
  3. Step 3: Cross multiply
    6,794.28x = 9,352 × 5,022.80
  4. Step 4: Simplify right side
    6,794.28x = 46,973,225.60
  5. Step 5: Solve for x
    x = 46,973,225.60/6,794.28
  6. Step 6: Final answer
    x = 6,913.64

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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.