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Finding the Fourth Proportional to 7,096.44, 9,784.41 and 4,439.24

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Solution

The fourth proportional to 7,096.44, 9,784.41 and 4,439.24 is: 6,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.44 : 9,784.41 = 4,439.24 : x
  2. Step 2: Convert to fraction form
    7,096.44/9,784.41 = 4,439.24/x
  3. Step 3: Cross multiply
    7,096.44x = 9,784.41 × 4,439.24
  4. Step 4: Simplify right side
    7,096.44x = 43,435,344.25
  5. Step 5: Solve for x
    x = 43,435,344.25/7,096.44
  6. Step 6: Final answer
    x = 6,120.72

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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.