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Finding the Fourth Proportional to 9,857.68, 14,792.19 and 5,474.77

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Solution

The fourth proportional to 9,857.68, 14,792.19 and 5,474.77 is: 8,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.68 : 14,792.19 = 5,474.77 : x
  2. Step 2: Convert to fraction form
    9,857.68/14,792.19 = 5,474.77/x
  3. Step 3: Cross multiply
    9,857.68x = 14,792.19 × 5,474.77
  4. Step 4: Simplify right side
    9,857.68x = 80,983,736.71
  5. Step 5: Solve for x
    x = 80,983,736.71/9,857.68
  6. Step 6: Final answer
    x = 8,215.30

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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.