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Finding the Fourth Proportional to 6,436.32, 9,644.49 and 3,100.98

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Solution

The fourth proportional to 6,436.32, 9,644.49 and 3,100.98 is: 4,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.32 : 9,644.49 = 3,100.98 : x
  2. Step 2: Convert to fraction form
    6,436.32/9,644.49 = 3,100.98/x
  3. Step 3: Cross multiply
    6,436.32x = 9,644.49 × 3,100.98
  4. Step 4: Simplify right side
    6,436.32x = 29,907,370.60
  5. Step 5: Solve for x
    x = 29,907,370.60/6,436.32
  6. Step 6: Final answer
    x = 4,646.66

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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.