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Finding the Fourth Proportional to 9,857.69, 14,786.45 and 2,462.10

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Solution

The fourth proportional to 9,857.69, 14,786.45 and 2,462.10 is: 3,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.69 : 14,786.45 = 2,462.10 : x
  2. Step 2: Convert to fraction form
    9,857.69/14,786.45 = 2,462.10/x
  3. Step 3: Cross multiply
    9,857.69x = 14,786.45 × 2,462.10
  4. Step 4: Simplify right side
    9,857.69x = 36,405,660.02
  5. Step 5: Solve for x
    x = 36,405,660.02/9,857.69
  6. Step 6: Final answer
    x = 3,693.12

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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.