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Finding the Fourth Proportional to 9,857.64, 14,786.04 and 4,014.36

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Solution

The fourth proportional to 9,857.64, 14,786.04 and 4,014.36 is: 6,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.64 : 14,786.04 = 4,014.36 : x
  2. Step 2: Convert to fraction form
    9,857.64/14,786.04 = 4,014.36/x
  3. Step 3: Cross multiply
    9,857.64x = 14,786.04 × 4,014.36
  4. Step 4: Simplify right side
    9,857.64x = 59,356,487.53
  5. Step 5: Solve for x
    x = 59,356,487.53/9,857.64
  6. Step 6: Final answer
    x = 6,021.37

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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.