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Finding the Fourth Proportional to 9,748.27, 13,446.84 and 5,973.13

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Solution

The fourth proportional to 9,748.27, 13,446.84 and 5,973.13 is: 8,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.27 : 13,446.84 = 5,973.13 : x
  2. Step 2: Convert to fraction form
    9,748.27/13,446.84 = 5,973.13/x
  3. Step 3: Cross multiply
    9,748.27x = 13,446.84 × 5,973.13
  4. Step 4: Simplify right side
    9,748.27x = 80,319,723.41
  5. Step 5: Solve for x
    x = 80,319,723.41/9,748.27
  6. Step 6: Final answer
    x = 8,239.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.