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Finding the Fourth Proportional to 6,945.67, 9,582.63 and 3,959.35

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Solution

The fourth proportional to 6,945.67, 9,582.63 and 3,959.35 is: 5,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.67 : 9,582.63 = 3,959.35 : x
  2. Step 2: Convert to fraction form
    6,945.67/9,582.63 = 3,959.35/x
  3. Step 3: Cross multiply
    6,945.67x = 9,582.63 × 3,959.35
  4. Step 4: Simplify right side
    6,945.67x = 37,940,938.18
  5. Step 5: Solve for x
    x = 37,940,938.18/6,945.67
  6. Step 6: Final answer
    x = 5,462.54

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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.