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Finding the Fourth Proportional to 9,889.77, 13,646.56 and 5,697.21

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Solution

The fourth proportional to 9,889.77, 13,646.56 and 5,697.21 is: 7,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.77 : 13,646.56 = 5,697.21 : x
  2. Step 2: Convert to fraction form
    9,889.77/13,646.56 = 5,697.21/x
  3. Step 3: Cross multiply
    9,889.77x = 13,646.56 × 5,697.21
  4. Step 4: Simplify right side
    9,889.77x = 77,747,318.10
  5. Step 5: Solve for x
    x = 77,747,318.10/9,889.77
  6. Step 6: Final answer
    x = 7,861.39

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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.