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Finding the Fourth Proportional to 6,907.52, 9,535.25 and 5,229.41

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Solution

The fourth proportional to 6,907.52, 9,535.25 and 5,229.41 is: 7,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.52 : 9,535.25 = 5,229.41 : x
  2. Step 2: Convert to fraction form
    6,907.52/9,535.25 = 5,229.41/x
  3. Step 3: Cross multiply
    6,907.52x = 9,535.25 × 5,229.41
  4. Step 4: Simplify right side
    6,907.52x = 49,863,697.10
  5. Step 5: Solve for x
    x = 49,863,697.10/6,907.52
  6. Step 6: Final answer
    x = 7,218.75

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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.