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Finding the Fourth Proportional to 9,360.26, 12,914.04 and 6,175.14

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Solution

The fourth proportional to 9,360.26, 12,914.04 and 6,175.14 is: 8,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360.26 : 12,914.04 = 6,175.14 : x
  2. Step 2: Convert to fraction form
    9,360.26/12,914.04 = 6,175.14/x
  3. Step 3: Cross multiply
    9,360.26x = 12,914.04 × 6,175.14
  4. Step 4: Simplify right side
    9,360.26x = 79,745,962.33
  5. Step 5: Solve for x
    x = 79,745,962.33/9,360.26
  6. Step 6: Final answer
    x = 8,519.63

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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.