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Finding the Fourth Proportional to 9,927.41, 14,891.54 and 3,353.64

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Solution

The fourth proportional to 9,927.41, 14,891.54 and 3,353.64 is: 5,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.41 : 14,891.54 = 3,353.64 : x
  2. Step 2: Convert to fraction form
    9,927.41/14,891.54 = 3,353.64/x
  3. Step 3: Cross multiply
    9,927.41x = 14,891.54 × 3,353.64
  4. Step 4: Simplify right side
    9,927.41x = 49,940,847.44
  5. Step 5: Solve for x
    x = 49,940,847.44/9,927.41
  6. Step 6: Final answer
    x = 5,030.60

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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.