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Finding the Fourth Proportional to 6,196.77, 9,250.58 and 5,309.72

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Solution

The fourth proportional to 6,196.77, 9,250.58 and 5,309.72 is: 7,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.77 : 9,250.58 = 5,309.72 : x
  2. Step 2: Convert to fraction form
    6,196.77/9,250.58 = 5,309.72/x
  3. Step 3: Cross multiply
    6,196.77x = 9,250.58 × 5,309.72
  4. Step 4: Simplify right side
    6,196.77x = 49,117,991.35
  5. Step 5: Solve for x
    x = 49,117,991.35/6,196.77
  6. Step 6: Final answer
    x = 7,926.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.