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Finding the Fourth Proportional to 6,485.28, 9,714.72 and 3,361.92

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Solution

The fourth proportional to 6,485.28, 9,714.72 and 3,361.92 is: 5,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.28 : 9,714.72 = 3,361.92 : x
  2. Step 2: Convert to fraction form
    6,485.28/9,714.72 = 3,361.92/x
  3. Step 3: Cross multiply
    6,485.28x = 9,714.72 × 3,361.92
  4. Step 4: Simplify right side
    6,485.28x = 32,660,111.46
  5. Step 5: Solve for x
    x = 32,660,111.46/6,485.28
  6. Step 6: Final answer
    x = 5,036.04

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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.