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Finding the Fourth Proportional to 6,275.43, 9,415.46 and 2,576.67

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Solution

The fourth proportional to 6,275.43, 9,415.46 and 2,576.67 is: 3,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.43 : 9,415.46 = 2,576.67 : x
  2. Step 2: Convert to fraction form
    6,275.43/9,415.46 = 2,576.67/x
  3. Step 3: Cross multiply
    6,275.43x = 9,415.46 × 2,576.67
  4. Step 4: Simplify right side
    6,275.43x = 24,260,533.32
  5. Step 5: Solve for x
    x = 24,260,533.32/6,275.43
  6. Step 6: Final answer
    x = 3,865.96

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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.