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Finding the Fourth Proportional to 6,273.54, 9,406.26 and 3,641.58

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Solution

The fourth proportional to 6,273.54, 9,406.26 and 3,641.58 is: 5,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.54 : 9,406.26 = 3,641.58 : x
  2. Step 2: Convert to fraction form
    6,273.54/9,406.26 = 3,641.58/x
  3. Step 3: Cross multiply
    6,273.54x = 9,406.26 × 3,641.58
  4. Step 4: Simplify right side
    6,273.54x = 34,253,648.29
  5. Step 5: Solve for x
    x = 34,253,648.29/6,273.54
  6. Step 6: Final answer
    x = 5,460.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.