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Finding the Fourth Proportional to 9,565.66, 14,371.04 and 5,627

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Solution

The fourth proportional to 9,565.66, 14,371.04 and 5,627 is: 8,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.66 : 14,371.04 = 5,627 : x
  2. Step 2: Convert to fraction form
    9,565.66/14,371.04 = 5,627/x
  3. Step 3: Cross multiply
    9,565.66x = 14,371.04 × 5,627
  4. Step 4: Simplify right side
    9,565.66x = 80,865,842.08
  5. Step 5: Solve for x
    x = 80,865,842.08/9,565.66
  6. Step 6: Final answer
    x = 8,453.77

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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.