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Finding the Fourth Proportional to 9,098.01, 13,638.90 and 3,550.07

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Solution

The fourth proportional to 9,098.01, 13,638.90 and 3,550.07 is: 5,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.01 : 13,638.90 = 3,550.07 : x
  2. Step 2: Convert to fraction form
    9,098.01/13,638.90 = 3,550.07/x
  3. Step 3: Cross multiply
    9,098.01x = 13,638.90 × 3,550.07
  4. Step 4: Simplify right side
    9,098.01x = 48,419,032.50
  5. Step 5: Solve for x
    x = 48,419,032.50/9,098.01
  6. Step 6: Final answer
    x = 5,321.93

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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.