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Finding the Fourth Proportional to 6,272.34, 9,395.74 and 5,033.04

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Solution

The fourth proportional to 6,272.34, 9,395.74 and 5,033.04 is: 7,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.34 : 9,395.74 = 5,033.04 : x
  2. Step 2: Convert to fraction form
    6,272.34/9,395.74 = 5,033.04/x
  3. Step 3: Cross multiply
    6,272.34x = 9,395.74 × 5,033.04
  4. Step 4: Simplify right side
    6,272.34x = 47,289,135.25
  5. Step 5: Solve for x
    x = 47,289,135.25/6,272.34
  6. Step 6: Final answer
    x = 7,539.31

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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.