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Finding the Fourth Proportional to 7,099.68, 9,797.76 and 3,955.84

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Solution

The fourth proportional to 7,099.68, 9,797.76 and 3,955.84 is: 5,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.68 : 9,797.76 = 3,955.84 : x
  2. Step 2: Convert to fraction form
    7,099.68/9,797.76 = 3,955.84/x
  3. Step 3: Cross multiply
    7,099.68x = 9,797.76 × 3,955.84
  4. Step 4: Simplify right side
    7,099.68x = 38,758,370.92
  5. Step 5: Solve for x
    x = 38,758,370.92/7,099.68
  6. Step 6: Final answer
    x = 5,459.17

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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.