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Finding the Fourth Proportional to 9,647.78, 14,473.42 and 3,411.44

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Solution

The fourth proportional to 9,647.78, 14,473.42 and 3,411.44 is: 5,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.78 : 14,473.42 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    9,647.78/14,473.42 = 3,411.44/x
  3. Step 3: Cross multiply
    9,647.78x = 14,473.42 × 3,411.44
  4. Step 4: Simplify right side
    9,647.78x = 49,375,203.92
  5. Step 5: Solve for x
    x = 49,375,203.92/9,647.78
  6. Step 6: Final answer
    x = 5,117.78

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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.