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Finding the Fourth Proportional to 9,372.36, 12,899.34 and 8,031

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Solution

The fourth proportional to 9,372.36, 12,899.34 and 8,031 is: 11,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.36 : 12,899.34 = 8,031 : x
  2. Step 2: Convert to fraction form
    9,372.36/12,899.34 = 8,031/x
  3. Step 3: Cross multiply
    9,372.36x = 12,899.34 × 8,031
  4. Step 4: Simplify right side
    9,372.36x = 103,594,599.54
  5. Step 5: Solve for x
    x = 103,594,599.54/9,372.36
  6. Step 6: Final answer
    x = 11,053.20

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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.