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Finding the Fourth Proportional to 8,033.94, 12,029.94 and 6,465.38

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Solution

The fourth proportional to 8,033.94, 12,029.94 and 6,465.38 is: 9,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.94 : 12,029.94 = 6,465.38 : x
  2. Step 2: Convert to fraction form
    8,033.94/12,029.94 = 6,465.38/x
  3. Step 3: Cross multiply
    8,033.94x = 12,029.94 × 6,465.38
  4. Step 4: Simplify right side
    8,033.94x = 77,778,073.33
  5. Step 5: Solve for x
    x = 77,778,073.33/8,033.94
  6. Step 6: Final answer
    x = 9,681.19

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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.