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Finding the Fourth Proportional to 6,233.54, 8,613.69 and 5,929.82

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Solution

The fourth proportional to 6,233.54, 8,613.69 and 5,929.82 is: 8,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.54 : 8,613.69 = 5,929.82 : x
  2. Step 2: Convert to fraction form
    6,233.54/8,613.69 = 5,929.82/x
  3. Step 3: Cross multiply
    6,233.54x = 8,613.69 × 5,929.82
  4. Step 4: Simplify right side
    6,233.54x = 51,077,631.24
  5. Step 5: Solve for x
    x = 51,077,631.24/6,233.54
  6. Step 6: Final answer
    x = 8,194.00

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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.