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Finding the Fourth Proportional to 6,681.83, 9,220.74 and 3,697.79

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Solution

The fourth proportional to 6,681.83, 9,220.74 and 3,697.79 is: 5,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.83 : 9,220.74 = 3,697.79 : x
  2. Step 2: Convert to fraction form
    6,681.83/9,220.74 = 3,697.79/x
  3. Step 3: Cross multiply
    6,681.83x = 9,220.74 × 3,697.79
  4. Step 4: Simplify right side
    6,681.83x = 34,096,360.16
  5. Step 5: Solve for x
    x = 34,096,360.16/6,681.83
  6. Step 6: Final answer
    x = 5,102.85

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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.