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Finding the Fourth Proportional to 9,293.22, 12,824.73 and 5,314.14

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Solution

The fourth proportional to 9,293.22, 12,824.73 and 5,314.14 is: 7,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.22 : 12,824.73 = 5,314.14 : x
  2. Step 2: Convert to fraction form
    9,293.22/12,824.73 = 5,314.14/x
  3. Step 3: Cross multiply
    9,293.22x = 12,824.73 × 5,314.14
  4. Step 4: Simplify right side
    9,293.22x = 68,152,410.68
  5. Step 5: Solve for x
    x = 68,152,410.68/9,293.22
  6. Step 6: Final answer
    x = 7,333.56

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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.