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Finding the Fourth Proportional to 6,186.96, 9,281.76 and 3,555.66

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Solution

The fourth proportional to 6,186.96, 9,281.76 and 3,555.66 is: 5,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.96 : 9,281.76 = 3,555.66 : x
  2. Step 2: Convert to fraction form
    6,186.96/9,281.76 = 3,555.66/x
  3. Step 3: Cross multiply
    6,186.96x = 9,281.76 × 3,555.66
  4. Step 4: Simplify right side
    6,186.96x = 33,002,782.76
  5. Step 5: Solve for x
    x = 33,002,782.76/6,186.96
  6. Step 6: Final answer
    x = 5,334.25

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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.