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Finding the Fourth Proportional to 9,937.50, 13,713.26 and 5,957.84

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Solution

The fourth proportional to 9,937.50, 13,713.26 and 5,957.84 is: 8,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.50 : 13,713.26 = 5,957.84 : x
  2. Step 2: Convert to fraction form
    9,937.50/13,713.26 = 5,957.84/x
  3. Step 3: Cross multiply
    9,937.50x = 13,713.26 × 5,957.84
  4. Step 4: Simplify right side
    9,937.50x = 81,701,310.60
  5. Step 5: Solve for x
    x = 81,701,310.60/9,937.50
  6. Step 6: Final answer
    x = 8,221.52

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