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Finding the Fourth Proportional to 6,241.36, 9,364.74 and 2,956.78

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Solution

The fourth proportional to 6,241.36, 9,364.74 and 2,956.78 is: 4,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.36 : 9,364.74 = 2,956.78 : x
  2. Step 2: Convert to fraction form
    6,241.36/9,364.74 = 2,956.78/x
  3. Step 3: Cross multiply
    6,241.36x = 9,364.74 × 2,956.78
  4. Step 4: Simplify right side
    6,241.36x = 27,689,475.94
  5. Step 5: Solve for x
    x = 27,689,475.94/6,241.36
  6. Step 6: Final answer
    x = 4,436.45

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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.