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Finding the Fourth Proportional to 9,502.62, 14,253.69 and 2,576.94

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Solution

The fourth proportional to 9,502.62, 14,253.69 and 2,576.94 is: 3,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.62 : 14,253.69 = 2,576.94 : x
  2. Step 2: Convert to fraction form
    9,502.62/14,253.69 = 2,576.94/x
  3. Step 3: Cross multiply
    9,502.62x = 14,253.69 × 2,576.94
  4. Step 4: Simplify right side
    9,502.62x = 36,730,903.91
  5. Step 5: Solve for x
    x = 36,730,903.91/9,502.62
  6. Step 6: Final answer
    x = 3,865.34

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Why These Related Problems?

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