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Finding the Fourth Proportional to 9,858.15, 14,797.76 and 5,474.43

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Solution

The fourth proportional to 9,858.15, 14,797.76 and 5,474.43 is: 8,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.15 : 14,797.76 = 5,474.43 : x
  2. Step 2: Convert to fraction form
    9,858.15/14,797.76 = 5,474.43/x
  3. Step 3: Cross multiply
    9,858.15x = 14,797.76 × 5,474.43
  4. Step 4: Simplify right side
    9,858.15x = 81,009,273.90
  5. Step 5: Solve for x
    x = 81,009,273.90/9,858.15
  6. Step 6: Final answer
    x = 8,217.49

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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.