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Finding the Fourth Proportional to 9,881.98, 14,815.26 and 4,949.08

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Solution

The fourth proportional to 9,881.98, 14,815.26 and 4,949.08 is: 7,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.98 : 14,815.26 = 4,949.08 : x
  2. Step 2: Convert to fraction form
    9,881.98/14,815.26 = 4,949.08/x
  3. Step 3: Cross multiply
    9,881.98x = 14,815.26 × 4,949.08
  4. Step 4: Simplify right side
    9,881.98x = 73,321,906.96
  5. Step 5: Solve for x
    x = 73,321,906.96/9,881.98
  6. Step 6: Final answer
    x = 7,419.76

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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.