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Finding the Fourth Proportional to 8,769.48, 13,154.09 and 2,195.66

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Solution

The fourth proportional to 8,769.48, 13,154.09 and 2,195.66 is: 3,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.48 : 13,154.09 = 2,195.66 : x
  2. Step 2: Convert to fraction form
    8,769.48/13,154.09 = 2,195.66/x
  3. Step 3: Cross multiply
    8,769.48x = 13,154.09 × 2,195.66
  4. Step 4: Simplify right side
    8,769.48x = 28,881,832.50
  5. Step 5: Solve for x
    x = 28,881,832.50/8,769.48
  6. Step 6: Final answer
    x = 3,293.45

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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.