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Finding the Fourth Proportional to 9,409.26, 14,116.07 and 3,565.92

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Solution

The fourth proportional to 9,409.26, 14,116.07 and 3,565.92 is: 5,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.26 : 14,116.07 = 3,565.92 : x
  2. Step 2: Convert to fraction form
    9,409.26/14,116.07 = 3,565.92/x
  3. Step 3: Cross multiply
    9,409.26x = 14,116.07 × 3,565.92
  4. Step 4: Simplify right side
    9,409.26x = 50,336,838.18
  5. Step 5: Solve for x
    x = 50,336,838.18/9,409.26
  6. Step 6: Final answer
    x = 5,349.71

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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.