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Finding the Fourth Proportional to 9,856.44, 14,773.78 and 4,011.64

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Solution

The fourth proportional to 9,856.44, 14,773.78 and 4,011.64 is: 6,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.44 : 14,773.78 = 4,011.64 : x
  2. Step 2: Convert to fraction form
    9,856.44/14,773.78 = 4,011.64/x
  3. Step 3: Cross multiply
    9,856.44x = 14,773.78 × 4,011.64
  4. Step 4: Simplify right side
    9,856.44x = 59,267,086.80
  5. Step 5: Solve for x
    x = 59,267,086.80/9,856.44
  6. Step 6: Final answer
    x = 6,013.03

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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.