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Finding the Fourth Proportional to 9,410.38, 12,985.31 and 5,218.63

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Solution

The fourth proportional to 9,410.38, 12,985.31 and 5,218.63 is: 7,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.38 : 12,985.31 = 5,218.63 : x
  2. Step 2: Convert to fraction form
    9,410.38/12,985.31 = 5,218.63/x
  3. Step 3: Cross multiply
    9,410.38x = 12,985.31 × 5,218.63
  4. Step 4: Simplify right side
    9,410.38x = 67,765,508.91
  5. Step 5: Solve for x
    x = 67,765,508.91/9,410.38
  6. Step 6: Final answer
    x = 7,201.15

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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.