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Finding the Fourth Proportional to 9,164.44, 12,657.36 and 6,175.09

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Solution

The fourth proportional to 9,164.44, 12,657.36 and 6,175.09 is: 8,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.44 : 12,657.36 = 6,175.09 : x
  2. Step 2: Convert to fraction form
    9,164.44/12,657.36 = 6,175.09/x
  3. Step 3: Cross multiply
    9,164.44x = 12,657.36 × 6,175.09
  4. Step 4: Simplify right side
    9,164.44x = 78,160,337.16
  5. Step 5: Solve for x
    x = 78,160,337.16/9,164.44
  6. Step 6: Final answer
    x = 8,528.65

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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.