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Finding the Fourth Proportional to 9,322.96, 12,863.82 and 5,345.32

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Solution

The fourth proportional to 9,322.96, 12,863.82 and 5,345.32 is: 7,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.96 : 12,863.82 = 5,345.32 : x
  2. Step 2: Convert to fraction form
    9,322.96/12,863.82 = 5,345.32/x
  3. Step 3: Cross multiply
    9,322.96x = 12,863.82 × 5,345.32
  4. Step 4: Simplify right side
    9,322.96x = 68,761,234.32
  5. Step 5: Solve for x
    x = 68,761,234.32/9,322.96
  6. Step 6: Final answer
    x = 7,375.47

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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.