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Finding the Fourth Proportional to 6,945.74, 9,585.26 and 3,802

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Solution

The fourth proportional to 6,945.74, 9,585.26 and 3,802 is: 5,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.74 : 9,585.26 = 3,802 : x
  2. Step 2: Convert to fraction form
    6,945.74/9,585.26 = 3,802/x
  3. Step 3: Cross multiply
    6,945.74x = 9,585.26 × 3,802
  4. Step 4: Simplify right side
    6,945.74x = 36,443,158.52
  5. Step 5: Solve for x
    x = 36,443,158.52/6,945.74
  6. Step 6: Final answer
    x = 5,246.84

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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.