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Finding the Fourth Proportional to 6,427.35, 9,644.65 and 2,534.49

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Solution

The fourth proportional to 6,427.35, 9,644.65 and 2,534.49 is: 3,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.35 : 9,644.65 = 2,534.49 : x
  2. Step 2: Convert to fraction form
    6,427.35/9,644.65 = 2,534.49/x
  3. Step 3: Cross multiply
    6,427.35x = 9,644.65 × 2,534.49
  4. Step 4: Simplify right side
    6,427.35x = 24,444,262.64
  5. Step 5: Solve for x
    x = 24,444,262.64/6,427.35
  6. Step 6: Final answer
    x = 3,803.16

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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.