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Finding the Fourth Proportional to 6,811.67, 9,393.55 and 4,420.76

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Solution

The fourth proportional to 6,811.67, 9,393.55 and 4,420.76 is: 6,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.67 : 9,393.55 = 4,420.76 : x
  2. Step 2: Convert to fraction form
    6,811.67/9,393.55 = 4,420.76/x
  3. Step 3: Cross multiply
    6,811.67x = 9,393.55 × 4,420.76
  4. Step 4: Simplify right side
    6,811.67x = 41,526,649.78
  5. Step 5: Solve for x
    x = 41,526,649.78/6,811.67
  6. Step 6: Final answer
    x = 6,096.40

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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.