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Finding the Fourth Proportional to 6,436.04, 9,648.43 and 3,314.44

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Solution

The fourth proportional to 6,436.04, 9,648.43 and 3,314.44 is: 4,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.04 : 9,648.43 = 3,314.44 : x
  2. Step 2: Convert to fraction form
    6,436.04/9,648.43 = 3,314.44/x
  3. Step 3: Cross multiply
    6,436.04x = 9,648.43 × 3,314.44
  4. Step 4: Simplify right side
    6,436.04x = 31,979,177.90
  5. Step 5: Solve for x
    x = 31,979,177.90/6,436.04
  6. Step 6: Final answer
    x = 4,968.76

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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.