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Finding the Fourth Proportional to 7,039.63, 9,714.69 and 3,896.29

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Solution

The fourth proportional to 7,039.63, 9,714.69 and 3,896.29 is: 5,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.63 : 9,714.69 = 3,896.29 : x
  2. Step 2: Convert to fraction form
    7,039.63/9,714.69 = 3,896.29/x
  3. Step 3: Cross multiply
    7,039.63x = 9,714.69 × 3,896.29
  4. Step 4: Simplify right side
    7,039.63x = 37,851,181.45
  5. Step 5: Solve for x
    x = 37,851,181.45/7,039.63
  6. Step 6: Final answer
    x = 5,376.87

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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.