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Finding the Fourth Proportional to 6,349.76, 9,524.58 and 2,451.44

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Solution

The fourth proportional to 6,349.76, 9,524.58 and 2,451.44 is: 3,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.76 : 9,524.58 = 2,451.44 : x
  2. Step 2: Convert to fraction form
    6,349.76/9,524.58 = 2,451.44/x
  3. Step 3: Cross multiply
    6,349.76x = 9,524.58 × 2,451.44
  4. Step 4: Simplify right side
    6,349.76x = 23,348,936.40
  5. Step 5: Solve for x
    x = 23,348,936.40/6,349.76
  6. Step 6: Final answer
    x = 3,677.14

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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.