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Finding the Fourth Proportional to 9,801.88, 13,527.28 and 5,552.90

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Solution

The fourth proportional to 9,801.88, 13,527.28 and 5,552.90 is: 7,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.88 : 13,527.28 = 5,552.90 : x
  2. Step 2: Convert to fraction form
    9,801.88/13,527.28 = 5,552.90/x
  3. Step 3: Cross multiply
    9,801.88x = 13,527.28 × 5,552.90
  4. Step 4: Simplify right side
    9,801.88x = 75,115,633.11
  5. Step 5: Solve for x
    x = 75,115,633.11/9,801.88
  6. Step 6: Final answer
    x = 7,663.39

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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.