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Finding the Fourth Proportional to 8,864.17, 13,295.22 and 2,289.84

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Solution

The fourth proportional to 8,864.17, 13,295.22 and 2,289.84 is: 3,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.17 : 13,295.22 = 2,289.84 : x
  2. Step 2: Convert to fraction form
    8,864.17/13,295.22 = 2,289.84/x
  3. Step 3: Cross multiply
    8,864.17x = 13,295.22 × 2,289.84
  4. Step 4: Simplify right side
    8,864.17x = 30,443,926.56
  5. Step 5: Solve for x
    x = 30,443,926.56/8,864.17
  6. Step 6: Final answer
    x = 3,434.49

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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.