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Finding the Fourth Proportional to 9,938.50, 14,894.97 and 7,589.86

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Solution

The fourth proportional to 9,938.50, 14,894.97 and 7,589.86 is: 11,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.50 : 14,894.97 = 7,589.86 : x
  2. Step 2: Convert to fraction form
    9,938.50/14,894.97 = 7,589.86/x
  3. Step 3: Cross multiply
    9,938.50x = 14,894.97 × 7,589.86
  4. Step 4: Simplify right side
    9,938.50x = 113,050,737.00
  5. Step 5: Solve for x
    x = 113,050,737.00/9,938.50
  6. Step 6: Final answer
    x = 11,375.03

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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.