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Finding the Fourth Proportional to 9,963.45, 13,749.28 and 5,715.22

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Solution

The fourth proportional to 9,963.45, 13,749.28 and 5,715.22 is: 7,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.45 : 13,749.28 = 5,715.22 : x
  2. Step 2: Convert to fraction form
    9,963.45/13,749.28 = 5,715.22/x
  3. Step 3: Cross multiply
    9,963.45x = 13,749.28 × 5,715.22
  4. Step 4: Simplify right side
    9,963.45x = 78,580,160.04
  5. Step 5: Solve for x
    x = 78,580,160.04/9,963.45
  6. Step 6: Final answer
    x = 7,886.84

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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.