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Finding the Fourth Proportional to 9,937.50, 13,716.63 and 6,625.50

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Solution

The fourth proportional to 9,937.50, 13,716.63 and 6,625.50 is: 9,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.50 : 13,716.63 = 6,625.50 : x
  2. Step 2: Convert to fraction form
    9,937.50/13,716.63 = 6,625.50/x
  3. Step 3: Cross multiply
    9,937.50x = 13,716.63 × 6,625.50
  4. Step 4: Simplify right side
    9,937.50x = 90,879,532.07
  5. Step 5: Solve for x
    x = 90,879,532.07/9,937.50
  6. Step 6: Final answer
    x = 9,145.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.