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Finding the Fourth Proportional to 9,110.68, 13,662.17 and 2,869.02

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Solution

The fourth proportional to 9,110.68, 13,662.17 and 2,869.02 is: 4,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.68 : 13,662.17 = 2,869.02 : x
  2. Step 2: Convert to fraction form
    9,110.68/13,662.17 = 2,869.02/x
  3. Step 3: Cross multiply
    9,110.68x = 13,662.17 × 2,869.02
  4. Step 4: Simplify right side
    9,110.68x = 39,197,035.39
  5. Step 5: Solve for x
    x = 39,197,035.39/9,110.68
  6. Step 6: Final answer
    x = 4,302.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.