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Finding the Fourth Proportional to 9,293.61, 12,824.74 and 5,044.57

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Solution

The fourth proportional to 9,293.61, 12,824.74 and 5,044.57 is: 6,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.61 : 12,824.74 = 5,044.57 : x
  2. Step 2: Convert to fraction form
    9,293.61/12,824.74 = 5,044.57/x
  3. Step 3: Cross multiply
    9,293.61x = 12,824.74 × 5,044.57
  4. Step 4: Simplify right side
    9,293.61x = 64,695,286.05
  5. Step 5: Solve for x
    x = 64,695,286.05/9,293.61
  6. Step 6: Final answer
    x = 6,961.27

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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.