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Finding the Fourth Proportional to 7,099.94, 9,797.82 and 3,956.16

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Solution

The fourth proportional to 7,099.94, 9,797.82 and 3,956.16 is: 5,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.94 : 9,797.82 = 3,956.16 : x
  2. Step 2: Convert to fraction form
    7,099.94/9,797.82 = 3,956.16/x
  3. Step 3: Cross multiply
    7,099.94x = 9,797.82 × 3,956.16
  4. Step 4: Simplify right side
    7,099.94x = 38,761,743.57
  5. Step 5: Solve for x
    x = 38,761,743.57/7,099.94
  6. Step 6: Final answer
    x = 5,459.45

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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.