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Finding the Fourth Proportional to 9,963.22, 13,748.61 and 5,984.50

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Solution

The fourth proportional to 9,963.22, 13,748.61 and 5,984.50 is: 8,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.22 : 13,748.61 = 5,984.50 : x
  2. Step 2: Convert to fraction form
    9,963.22/13,748.61 = 5,984.50/x
  3. Step 3: Cross multiply
    9,963.22x = 13,748.61 × 5,984.50
  4. Step 4: Simplify right side
    9,963.22x = 82,278,556.55
  5. Step 5: Solve for x
    x = 82,278,556.55/9,963.22
  6. Step 6: Final answer
    x = 8,258.23

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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.