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Finding the Fourth Proportional to 8,632.69, 12,949.77 and 3,701.16

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Solution

The fourth proportional to 8,632.69, 12,949.77 and 3,701.16 is: 5,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.69 : 12,949.77 = 3,701.16 : x
  2. Step 2: Convert to fraction form
    8,632.69/12,949.77 = 3,701.16/x
  3. Step 3: Cross multiply
    8,632.69x = 12,949.77 × 3,701.16
  4. Step 4: Simplify right side
    8,632.69x = 47,929,170.73
  5. Step 5: Solve for x
    x = 47,929,170.73/8,632.69
  6. Step 6: Final answer
    x = 5,552.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.