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Finding the Fourth Proportional to 7,039.78, 9,714.84 and 3,896.14

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Solution

The fourth proportional to 7,039.78, 9,714.84 and 3,896.14 is: 5,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.78 : 9,714.84 = 3,896.14 : x
  2. Step 2: Convert to fraction form
    7,039.78/9,714.84 = 3,896.14/x
  3. Step 3: Cross multiply
    7,039.78x = 9,714.84 × 3,896.14
  4. Step 4: Simplify right side
    7,039.78x = 37,850,376.72
  5. Step 5: Solve for x
    x = 37,850,376.72/7,039.78
  6. Step 6: Final answer
    x = 5,376.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.