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Finding the Fourth Proportional to 6,907.42, 9,532.25 and 3,923.25

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Solution

The fourth proportional to 6,907.42, 9,532.25 and 3,923.25 is: 5,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.42 : 9,532.25 = 3,923.25 : x
  2. Step 2: Convert to fraction form
    6,907.42/9,532.25 = 3,923.25/x
  3. Step 3: Cross multiply
    6,907.42x = 9,532.25 × 3,923.25
  4. Step 4: Simplify right side
    6,907.42x = 37,397,399.81
  5. Step 5: Solve for x
    x = 37,397,399.81/6,907.42
  6. Step 6: Final answer
    x = 5,414.09

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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.