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Finding the Fourth Proportional to 7,096.20, 9,789.84 and 4,261.20

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Solution

The fourth proportional to 7,096.20, 9,789.84 and 4,261.20 is: 5,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.20 : 9,789.84 = 4,261.20 : x
  2. Step 2: Convert to fraction form
    7,096.20/9,789.84 = 4,261.20/x
  3. Step 3: Cross multiply
    7,096.20x = 9,789.84 × 4,261.20
  4. Step 4: Simplify right side
    7,096.20x = 41,716,466.21
  5. Step 5: Solve for x
    x = 41,716,466.21/7,096.20
  6. Step 6: Final answer
    x = 5,878.70

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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.