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Finding the Fourth Proportional to 9,857.81, 14,777.91 and 3,616.36

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Solution

The fourth proportional to 9,857.81, 14,777.91 and 3,616.36 is: 5,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.81 : 14,777.91 = 3,616.36 : x
  2. Step 2: Convert to fraction form
    9,857.81/14,777.91 = 3,616.36/x
  3. Step 3: Cross multiply
    9,857.81x = 14,777.91 × 3,616.36
  4. Step 4: Simplify right side
    9,857.81x = 53,442,205.66
  5. Step 5: Solve for x
    x = 53,442,205.66/9,857.81
  6. Step 6: Final answer
    x = 5,421.31

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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.