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Finding the Fourth Proportional to 9,937.50, 14,906.77 and 2,542.02

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Solution

The fourth proportional to 9,937.50, 14,906.77 and 2,542.02 is: 3,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.50 : 14,906.77 = 2,542.02 : x
  2. Step 2: Convert to fraction form
    9,937.50/14,906.77 = 2,542.02/x
  3. Step 3: Cross multiply
    9,937.50x = 14,906.77 × 2,542.02
  4. Step 4: Simplify right side
    9,937.50x = 37,893,381.72
  5. Step 5: Solve for x
    x = 37,893,381.72/9,937.50
  6. Step 6: Final answer
    x = 3,813.17

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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.