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Finding the Fourth Proportional to 9,963.44, 13,749.58 and 5,984.62

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Solution

The fourth proportional to 9,963.44, 13,749.58 and 5,984.62 is: 8,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.44 : 13,749.58 = 5,984.62 : x
  2. Step 2: Convert to fraction form
    9,963.44/13,749.58 = 5,984.62/x
  3. Step 3: Cross multiply
    9,963.44x = 13,749.58 × 5,984.62
  4. Step 4: Simplify right side
    9,963.44x = 82,286,011.46
  5. Step 5: Solve for x
    x = 82,286,011.46/9,963.44
  6. Step 6: Final answer
    x = 8,258.80

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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.