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Finding the Fourth Proportional to 6,143.48, 9,213.30 and 5,790.20

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Solution

The fourth proportional to 6,143.48, 9,213.30 and 5,790.20 is: 8,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.48 : 9,213.30 = 5,790.20 : x
  2. Step 2: Convert to fraction form
    6,143.48/9,213.30 = 5,790.20/x
  3. Step 3: Cross multiply
    6,143.48x = 9,213.30 × 5,790.20
  4. Step 4: Simplify right side
    6,143.48x = 53,346,849.66
  5. Step 5: Solve for x
    x = 53,346,849.66/6,143.48
  6. Step 6: Final answer
    x = 8,683.49

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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.