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Finding the Fourth Proportional to 6,961.94, 9,607.51 and 3,818.13

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Solution

The fourth proportional to 6,961.94, 9,607.51 and 3,818.13 is: 5,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.94 : 9,607.51 = 3,818.13 : x
  2. Step 2: Convert to fraction form
    6,961.94/9,607.51 = 3,818.13/x
  3. Step 3: Cross multiply
    6,961.94x = 9,607.51 × 3,818.13
  4. Step 4: Simplify right side
    6,961.94x = 36,682,722.16
  5. Step 5: Solve for x
    x = 36,682,722.16/6,961.94
  6. Step 6: Final answer
    x = 5,269.04

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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.