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Finding the Fourth Proportional to 9,669.57, 14,502.54 and 3,429.33

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Solution

The fourth proportional to 9,669.57, 14,502.54 and 3,429.33 is: 5,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.57 : 14,502.54 = 3,429.33 : x
  2. Step 2: Convert to fraction form
    9,669.57/14,502.54 = 3,429.33/x
  3. Step 3: Cross multiply
    9,669.57x = 14,502.54 × 3,429.33
  4. Step 4: Simplify right side
    9,669.57x = 49,733,995.50
  5. Step 5: Solve for x
    x = 49,733,995.50/9,669.57
  6. Step 6: Final answer
    x = 5,143.35

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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.