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Finding the Fourth Proportional to 6,232.90, 9,349.62 and 4,043.20

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Solution

The fourth proportional to 6,232.90, 9,349.62 and 4,043.20 is: 6,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.90 : 9,349.62 = 4,043.20 : x
  2. Step 2: Convert to fraction form
    6,232.90/9,349.62 = 4,043.20/x
  3. Step 3: Cross multiply
    6,232.90x = 9,349.62 × 4,043.20
  4. Step 4: Simplify right side
    6,232.90x = 37,802,383.58
  5. Step 5: Solve for x
    x = 37,802,383.58/6,232.90
  6. Step 6: Final answer
    x = 6,064.98

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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.