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Finding the Fourth Proportional to 6,905.55, 9,529.57 and 3,761.74

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Solution

The fourth proportional to 6,905.55, 9,529.57 and 3,761.74 is: 5,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.55 : 9,529.57 = 3,761.74 : x
  2. Step 2: Convert to fraction form
    6,905.55/9,529.57 = 3,761.74/x
  3. Step 3: Cross multiply
    6,905.55x = 9,529.57 × 3,761.74
  4. Step 4: Simplify right side
    6,905.55x = 35,847,764.65
  5. Step 5: Solve for x
    x = 35,847,764.65/6,905.55
  6. Step 6: Final answer
    x = 5,191.15

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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.