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Finding the Fourth Proportional to 9,238.50, 13,859.94 and 2,998.53

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Solution

The fourth proportional to 9,238.50, 13,859.94 and 2,998.53 is: 4,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.50 : 13,859.94 = 2,998.53 : x
  2. Step 2: Convert to fraction form
    9,238.50/13,859.94 = 2,998.53/x
  3. Step 3: Cross multiply
    9,238.50x = 13,859.94 × 2,998.53
  4. Step 4: Simplify right side
    9,238.50x = 41,559,445.89
  5. Step 5: Solve for x
    x = 41,559,445.89/9,238.50
  6. Step 6: Final answer
    x = 4,498.51

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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.