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Finding the Fourth Proportional to 9,596.22, 13,249.32 and 6,012.66

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Solution

The fourth proportional to 9,596.22, 13,249.32 and 6,012.66 is: 8,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.22 : 13,249.32 = 6,012.66 : x
  2. Step 2: Convert to fraction form
    9,596.22/13,249.32 = 6,012.66/x
  3. Step 3: Cross multiply
    9,596.22x = 13,249.32 × 6,012.66
  4. Step 4: Simplify right side
    9,596.22x = 79,663,656.39
  5. Step 5: Solve for x
    x = 79,663,656.39/9,596.22
  6. Step 6: Final answer
    x = 8,301.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.