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Finding the Fourth Proportional to 8,936.65, 13,406.90 and 3,014.13

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Solution

The fourth proportional to 8,936.65, 13,406.90 and 3,014.13 is: 4,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.65 : 13,406.90 = 3,014.13 : x
  2. Step 2: Convert to fraction form
    8,936.65/13,406.90 = 3,014.13/x
  3. Step 3: Cross multiply
    8,936.65x = 13,406.90 × 3,014.13
  4. Step 4: Simplify right side
    8,936.65x = 40,410,139.50
  5. Step 5: Solve for x
    x = 40,410,139.50/8,936.65
  6. Step 6: Final answer
    x = 4,521.84

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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.