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Finding the Fourth Proportional to 9,181.10, 12,669.51 and 5,202.62

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Solution

The fourth proportional to 9,181.10, 12,669.51 and 5,202.62 is: 7,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.10 : 12,669.51 = 5,202.62 : x
  2. Step 2: Convert to fraction form
    9,181.10/12,669.51 = 5,202.62/x
  3. Step 3: Cross multiply
    9,181.10x = 12,669.51 × 5,202.62
  4. Step 4: Simplify right side
    9,181.10x = 65,914,646.12
  5. Step 5: Solve for x
    x = 65,914,646.12/9,181.10
  6. Step 6: Final answer
    x = 7,179.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.