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Finding the Fourth Proportional to 9,963.56, 13,748.16 and 5,771

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Solution

The fourth proportional to 9,963.56, 13,748.16 and 5,771 is: 7,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.56 : 13,748.16 = 5,771 : x
  2. Step 2: Convert to fraction form
    9,963.56/13,748.16 = 5,771/x
  3. Step 3: Cross multiply
    9,963.56x = 13,748.16 × 5,771
  4. Step 4: Simplify right side
    9,963.56x = 79,340,631.36
  5. Step 5: Solve for x
    x = 79,340,631.36/9,963.56
  6. Step 6: Final answer
    x = 7,963.08

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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.