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Finding the Fourth Proportional to 6,475.44, 9,713.81 and 2,578.94

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Solution

The fourth proportional to 6,475.44, 9,713.81 and 2,578.94 is: 3,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.44 : 9,713.81 = 2,578.94 : x
  2. Step 2: Convert to fraction form
    6,475.44/9,713.81 = 2,578.94/x
  3. Step 3: Cross multiply
    6,475.44x = 9,713.81 × 2,578.94
  4. Step 4: Simplify right side
    6,475.44x = 25,051,333.16
  5. Step 5: Solve for x
    x = 25,051,333.16/6,475.44
  6. Step 6: Final answer
    x = 3,868.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.