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Finding the Fourth Proportional to 6,272.59, 9,410.46 and 4,427.31

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Solution

The fourth proportional to 6,272.59, 9,410.46 and 4,427.31 is: 6,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.59 : 9,410.46 = 4,427.31 : x
  2. Step 2: Convert to fraction form
    6,272.59/9,410.46 = 4,427.31/x
  3. Step 3: Cross multiply
    6,272.59x = 9,410.46 × 4,427.31
  4. Step 4: Simplify right side
    6,272.59x = 41,662,987.85
  5. Step 5: Solve for x
    x = 41,662,987.85/6,272.59
  6. Step 6: Final answer
    x = 6,642.07

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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.