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Finding the Fourth Proportional to 9,857.16, 14,786.07 and 3,193.47

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Solution

The fourth proportional to 9,857.16, 14,786.07 and 3,193.47 is: 4,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.16 : 14,786.07 = 3,193.47 : x
  2. Step 2: Convert to fraction form
    9,857.16/14,786.07 = 3,193.47/x
  3. Step 3: Cross multiply
    9,857.16x = 14,786.07 × 3,193.47
  4. Step 4: Simplify right side
    9,857.16x = 47,218,870.96
  5. Step 5: Solve for x
    x = 47,218,870.96/9,857.16
  6. Step 6: Final answer
    x = 4,790.31

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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.