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Finding the Fourth Proportional to 9,963.29, 13,748.28 and 5,486.77

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Solution

The fourth proportional to 9,963.29, 13,748.28 and 5,486.77 is: 7,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.29 : 13,748.28 = 5,486.77 : x
  2. Step 2: Convert to fraction form
    9,963.29/13,748.28 = 5,486.77/x
  3. Step 3: Cross multiply
    9,963.29x = 13,748.28 × 5,486.77
  4. Step 4: Simplify right side
    9,963.29x = 75,433,622.82
  5. Step 5: Solve for x
    x = 75,433,622.82/9,963.29
  6. Step 6: Final answer
    x = 7,571.16

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Why These Related Problems?

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