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Finding the Fourth Proportional to 9,293.67, 12,824.82 and 5,044.63

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Solution

The fourth proportional to 9,293.67, 12,824.82 and 5,044.63 is: 6,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.67 : 12,824.82 = 5,044.63 : x
  2. Step 2: Convert to fraction form
    9,293.67/12,824.82 = 5,044.63/x
  3. Step 3: Cross multiply
    9,293.67x = 12,824.82 × 5,044.63
  4. Step 4: Simplify right side
    9,293.67x = 64,696,522.70
  5. Step 5: Solve for x
    x = 64,696,522.70/9,293.67
  6. Step 6: Final answer
    x = 6,961.36

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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.