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Finding the Fourth Proportional to 9,857.93, 14,786.81 and 2,462.34

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Solution

The fourth proportional to 9,857.93, 14,786.81 and 2,462.34 is: 3,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.93 : 14,786.81 = 2,462.34 : x
  2. Step 2: Convert to fraction form
    9,857.93/14,786.81 = 2,462.34/x
  3. Step 3: Cross multiply
    9,857.93x = 14,786.81 × 2,462.34
  4. Step 4: Simplify right side
    9,857.93x = 36,410,153.74
  5. Step 5: Solve for x
    x = 36,410,153.74/9,857.93
  6. Step 6: Final answer
    x = 3,693.49

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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.