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Finding the Fourth Proportional to 6,446.14, 8,892.51 and 4,206.98

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Solution

The fourth proportional to 6,446.14, 8,892.51 and 4,206.98 is: 5,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.14 : 8,892.51 = 4,206.98 : x
  2. Step 2: Convert to fraction form
    6,446.14/8,892.51 = 4,206.98/x
  3. Step 3: Cross multiply
    6,446.14x = 8,892.51 × 4,206.98
  4. Step 4: Simplify right side
    6,446.14x = 37,410,611.72
  5. Step 5: Solve for x
    x = 37,410,611.72/6,446.14
  6. Step 6: Final answer
    x = 5,803.57

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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.