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Finding the Fourth Proportional to 6,271.80, 9,414.52 and 4,716.26

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Solution

The fourth proportional to 6,271.80, 9,414.52 and 4,716.26 is: 7,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.80 : 9,414.52 = 4,716.26 : x
  2. Step 2: Convert to fraction form
    6,271.80/9,414.52 = 4,716.26/x
  3. Step 3: Cross multiply
    6,271.80x = 9,414.52 × 4,716.26
  4. Step 4: Simplify right side
    6,271.80x = 44,401,324.10
  5. Step 5: Solve for x
    x = 44,401,324.10/6,271.80
  6. Step 6: Final answer
    x = 7,079.52

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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.