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Finding the Fourth Proportional to 9,656.91, 13,326.08 and 5,930.19

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Solution

The fourth proportional to 9,656.91, 13,326.08 and 5,930.19 is: 8,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.91 : 13,326.08 = 5,930.19 : x
  2. Step 2: Convert to fraction form
    9,656.91/13,326.08 = 5,930.19/x
  3. Step 3: Cross multiply
    9,656.91x = 13,326.08 × 5,930.19
  4. Step 4: Simplify right side
    9,656.91x = 79,026,156.70
  5. Step 5: Solve for x
    x = 79,026,156.70/9,656.91
  6. Step 6: Final answer
    x = 8,183.38

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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.