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Finding the Fourth Proportional to 9,502.64, 14,234.04 and 6,022.64

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Solution

The fourth proportional to 9,502.64, 14,234.04 and 6,022.64 is: 9,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.64 : 14,234.04 = 6,022.64 : x
  2. Step 2: Convert to fraction form
    9,502.64/14,234.04 = 6,022.64/x
  3. Step 3: Cross multiply
    9,502.64x = 14,234.04 × 6,022.64
  4. Step 4: Simplify right side
    9,502.64x = 85,726,498.67
  5. Step 5: Solve for x
    x = 85,726,498.67/9,502.64
  6. Step 6: Final answer
    x = 9,021.33

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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.