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Finding the Fourth Proportional to 6,529.06, 9,006.13 and 3,875.90

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Solution

The fourth proportional to 6,529.06, 9,006.13 and 3,875.90 is: 5,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.06 : 9,006.13 = 3,875.90 : x
  2. Step 2: Convert to fraction form
    6,529.06/9,006.13 = 3,875.90/x
  3. Step 3: Cross multiply
    6,529.06x = 9,006.13 × 3,875.90
  4. Step 4: Simplify right side
    6,529.06x = 34,906,859.27
  5. Step 5: Solve for x
    x = 34,906,859.27/6,529.06
  6. Step 6: Final answer
    x = 5,346.38

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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.