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Finding the Fourth Proportional to 6,523.72, 9,789.26 and 4,333.64

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Solution

The fourth proportional to 6,523.72, 9,789.26 and 4,333.64 is: 6,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.72 : 9,789.26 = 4,333.64 : x
  2. Step 2: Convert to fraction form
    6,523.72/9,789.26 = 4,333.64/x
  3. Step 3: Cross multiply
    6,523.72x = 9,789.26 × 4,333.64
  4. Step 4: Simplify right side
    6,523.72x = 42,423,128.71
  5. Step 5: Solve for x
    x = 42,423,128.71/6,523.72
  6. Step 6: Final answer
    x = 6,502.90

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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.