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Finding the Fourth Proportional to 6,271.36, 9,407.22 and 3,496.48

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Solution

The fourth proportional to 6,271.36, 9,407.22 and 3,496.48 is: 5,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.36 : 9,407.22 = 3,496.48 : x
  2. Step 2: Convert to fraction form
    6,271.36/9,407.22 = 3,496.48/x
  3. Step 3: Cross multiply
    6,271.36x = 9,407.22 × 3,496.48
  4. Step 4: Simplify right side
    6,271.36x = 32,892,156.59
  5. Step 5: Solve for x
    x = 32,892,156.59/6,271.36
  6. Step 6: Final answer
    x = 5,244.82

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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.