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Finding the Fourth Proportional to 9,502.56, 14,254.56 and 2,576.96

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Solution

The fourth proportional to 9,502.56, 14,254.56 and 2,576.96 is: 3,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.56 : 14,254.56 = 2,576.96 : x
  2. Step 2: Convert to fraction form
    9,502.56/14,254.56 = 2,576.96/x
  3. Step 3: Cross multiply
    9,502.56x = 14,254.56 × 2,576.96
  4. Step 4: Simplify right side
    9,502.56x = 36,733,430.94
  5. Step 5: Solve for x
    x = 36,733,430.94/9,502.56
  6. Step 6: Final answer
    x = 3,865.64

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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.