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Finding the Fourth Proportional to 9,852, 14,769.72 and 4,012.80

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Solution

The fourth proportional to 9,852, 14,769.72 and 4,012.80 is: 6,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 14,769.72 = 4,012.80 : x
  2. Step 2: Convert to fraction form
    9,852/14,769.72 = 4,012.80/x
  3. Step 3: Cross multiply
    9,852x = 14,769.72 × 4,012.80
  4. Step 4: Simplify right side
    9,852x = 59,267,932.42
  5. Step 5: Solve for x
    x = 59,267,932.42/9,852
  6. Step 6: Final answer
    x = 6,015.83

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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.