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Finding the Fourth Proportional to 9,846.41, 14,765.18 and 2,824.84

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Solution

The fourth proportional to 9,846.41, 14,765.18 and 2,824.84 is: 4,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.41 : 14,765.18 = 2,824.84 : x
  2. Step 2: Convert to fraction form
    9,846.41/14,765.18 = 2,824.84/x
  3. Step 3: Cross multiply
    9,846.41x = 14,765.18 × 2,824.84
  4. Step 4: Simplify right side
    9,846.41x = 41,709,221.06
  5. Step 5: Solve for x
    x = 41,709,221.06/9,846.41
  6. Step 6: Final answer
    x = 4,235.98

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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.