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Finding the Fourth Proportional to 7,040.08, 9,714.52 and 3,896

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Solution

The fourth proportional to 7,040.08, 9,714.52 and 3,896 is: 5,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.08 : 9,714.52 = 3,896 : x
  2. Step 2: Convert to fraction form
    7,040.08/9,714.52 = 3,896/x
  3. Step 3: Cross multiply
    7,040.08x = 9,714.52 × 3,896
  4. Step 4: Simplify right side
    7,040.08x = 37,847,769.92
  5. Step 5: Solve for x
    x = 37,847,769.92/7,040.08
  6. Step 6: Final answer
    x = 5,376.04

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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.