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Finding the Fourth Proportional to 9,293.40, 12,824.62 and 6,144.12

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Solution

The fourth proportional to 9,293.40, 12,824.62 and 6,144.12 is: 8,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.40 : 12,824.62 = 6,144.12 : x
  2. Step 2: Convert to fraction form
    9,293.40/12,824.62 = 6,144.12/x
  3. Step 3: Cross multiply
    9,293.40x = 12,824.62 × 6,144.12
  4. Step 4: Simplify right side
    9,293.40x = 78,796,004.23
  5. Step 5: Solve for x
    x = 78,796,004.23/9,293.40
  6. Step 6: Final answer
    x = 8,478.71

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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.