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Finding the Fourth Proportional to 9,792.77, 14,686.04 and 3,217.43

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Solution

The fourth proportional to 9,792.77, 14,686.04 and 3,217.43 is: 4,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.77 : 14,686.04 = 3,217.43 : x
  2. Step 2: Convert to fraction form
    9,792.77/14,686.04 = 3,217.43/x
  3. Step 3: Cross multiply
    9,792.77x = 14,686.04 × 3,217.43
  4. Step 4: Simplify right side
    9,792.77x = 47,251,305.68
  5. Step 5: Solve for x
    x = 47,251,305.68/9,792.77
  6. Step 6: Final answer
    x = 4,825.12

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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.