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Finding the Fourth Proportional to 7,161.92, 9,884.16 and 4,808.96

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Solution

The fourth proportional to 7,161.92, 9,884.16 and 4,808.96 is: 6,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.92 : 9,884.16 = 4,808.96 : x
  2. Step 2: Convert to fraction form
    7,161.92/9,884.16 = 4,808.96/x
  3. Step 3: Cross multiply
    7,161.92x = 9,884.16 × 4,808.96
  4. Step 4: Simplify right side
    7,161.92x = 47,532,530.07
  5. Step 5: Solve for x
    x = 47,532,530.07/7,161.92
  6. Step 6: Final answer
    x = 6,636.84

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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.