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Finding the Fourth Proportional to 6,711.85, 9,263.56 and 3,878.84

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Solution

The fourth proportional to 6,711.85, 9,263.56 and 3,878.84 is: 5,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.85 : 9,263.56 = 3,878.84 : x
  2. Step 2: Convert to fraction form
    6,711.85/9,263.56 = 3,878.84/x
  3. Step 3: Cross multiply
    6,711.85x = 9,263.56 × 3,878.84
  4. Step 4: Simplify right side
    6,711.85x = 35,931,820.75
  5. Step 5: Solve for x
    x = 35,931,820.75/6,711.85
  6. Step 6: Final answer
    x = 5,353.49

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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.