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Finding the Fourth Proportional to 6,069.42, 8,375.76 and 3,416.76

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Solution

The fourth proportional to 6,069.42, 8,375.76 and 3,416.76 is: 4,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.42 : 8,375.76 = 3,416.76 : x
  2. Step 2: Convert to fraction form
    6,069.42/8,375.76 = 3,416.76/x
  3. Step 3: Cross multiply
    6,069.42x = 8,375.76 × 3,416.76
  4. Step 4: Simplify right side
    6,069.42x = 28,617,961.74
  5. Step 5: Solve for x
    x = 28,617,961.74/6,069.42
  6. Step 6: Final answer
    x = 4,715.11

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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.