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Finding the Fourth Proportional to 9,651.31, 13,316.91 and 6,064.19

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Solution

The fourth proportional to 9,651.31, 13,316.91 and 6,064.19 is: 8,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.31 : 13,316.91 = 6,064.19 : x
  2. Step 2: Convert to fraction form
    9,651.31/13,316.91 = 6,064.19/x
  3. Step 3: Cross multiply
    9,651.31x = 13,316.91 × 6,064.19
  4. Step 4: Simplify right side
    9,651.31x = 80,756,205.87
  5. Step 5: Solve for x
    x = 80,756,205.87/9,651.31
  6. Step 6: Final answer
    x = 8,367.39

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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.