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Finding the Fourth Proportional to 6,276.90, 9,415.35 and 3,944.10

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Solution

The fourth proportional to 6,276.90, 9,415.35 and 3,944.10 is: 5,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.90 : 9,415.35 = 3,944.10 : x
  2. Step 2: Convert to fraction form
    6,276.90/9,415.35 = 3,944.10/x
  3. Step 3: Cross multiply
    6,276.90x = 9,415.35 × 3,944.10
  4. Step 4: Simplify right side
    6,276.90x = 37,135,081.94
  5. Step 5: Solve for x
    x = 37,135,081.94/6,276.90
  6. Step 6: Final answer
    x = 5,916.15

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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.