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Finding the Fourth Proportional to 9,012.82, 12,434.06 and 5,989.39

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Solution

The fourth proportional to 9,012.82, 12,434.06 and 5,989.39 is: 8,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.82 : 12,434.06 = 5,989.39 : x
  2. Step 2: Convert to fraction form
    9,012.82/12,434.06 = 5,989.39/x
  3. Step 3: Cross multiply
    9,012.82x = 12,434.06 × 5,989.39
  4. Step 4: Simplify right side
    9,012.82x = 74,472,454.76
  5. Step 5: Solve for x
    x = 74,472,454.76/9,012.82
  6. Step 6: Final answer
    x = 8,262.95

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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.