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Finding the Fourth Proportional to 6,403.73, 8,837.46 and 4,829.09

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Solution

The fourth proportional to 6,403.73, 8,837.46 and 4,829.09 is: 6,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.73 : 8,837.46 = 4,829.09 : x
  2. Step 2: Convert to fraction form
    6,403.73/8,837.46 = 4,829.09/x
  3. Step 3: Cross multiply
    6,403.73x = 8,837.46 × 4,829.09
  4. Step 4: Simplify right side
    6,403.73x = 42,676,845.52
  5. Step 5: Solve for x
    x = 42,676,845.52/6,403.73
  6. Step 6: Final answer
    x = 6,664.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.