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Finding the Fourth Proportional to 6,609.84, 9,895.32 and 4,004.88

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Solution

The fourth proportional to 6,609.84, 9,895.32 and 4,004.88 is: 5,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.84 : 9,895.32 = 4,004.88 : x
  2. Step 2: Convert to fraction form
    6,609.84/9,895.32 = 4,004.88/x
  3. Step 3: Cross multiply
    6,609.84x = 9,895.32 × 4,004.88
  4. Step 4: Simplify right side
    6,609.84x = 39,629,569.16
  5. Step 5: Solve for x
    x = 39,629,569.16/6,609.84
  6. Step 6: Final answer
    x = 5,995.54

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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.