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Finding the Fourth Proportional to 6,225.33, 9,338.01 and 4,271.61

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Solution

The fourth proportional to 6,225.33, 9,338.01 and 4,271.61 is: 6,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.33 : 9,338.01 = 4,271.61 : x
  2. Step 2: Convert to fraction form
    6,225.33/9,338.01 = 4,271.61/x
  3. Step 3: Cross multiply
    6,225.33x = 9,338.01 × 4,271.61
  4. Step 4: Simplify right side
    6,225.33x = 39,888,336.90
  5. Step 5: Solve for x
    x = 39,888,336.90/6,225.33
  6. Step 6: Final answer
    x = 6,407.43

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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.