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Finding the Fourth Proportional to 6,279.43, 9,409.14 and 3,317.76

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Solution

The fourth proportional to 6,279.43, 9,409.14 and 3,317.76 is: 4,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.43 : 9,409.14 = 3,317.76 : x
  2. Step 2: Convert to fraction form
    6,279.43/9,409.14 = 3,317.76/x
  3. Step 3: Cross multiply
    6,279.43x = 9,409.14 × 3,317.76
  4. Step 4: Simplify right side
    6,279.43x = 31,217,268.33
  5. Step 5: Solve for x
    x = 31,217,268.33/6,279.43
  6. Step 6: Final answer
    x = 4,971.35

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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.