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Finding the Fourth Proportional to 9,175.21, 12,657.06 and 6,345.48

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Solution

The fourth proportional to 9,175.21, 12,657.06 and 6,345.48 is: 8,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.21 : 12,657.06 = 6,345.48 : x
  2. Step 2: Convert to fraction form
    9,175.21/12,657.06 = 6,345.48/x
  3. Step 3: Cross multiply
    9,175.21x = 12,657.06 × 6,345.48
  4. Step 4: Simplify right side
    9,175.21x = 80,315,121.09
  5. Step 5: Solve for x
    x = 80,315,121.09/9,175.21
  6. Step 6: Final answer
    x = 8,753.49

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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.