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Finding the Fourth Proportional to 9,774.24, 13,489.44 and 5,796.96

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Solution

The fourth proportional to 9,774.24, 13,489.44 and 5,796.96 is: 8,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.24 : 13,489.44 = 5,796.96 : x
  2. Step 2: Convert to fraction form
    9,774.24/13,489.44 = 5,796.96/x
  3. Step 3: Cross multiply
    9,774.24x = 13,489.44 × 5,796.96
  4. Step 4: Simplify right side
    9,774.24x = 78,197,744.10
  5. Step 5: Solve for x
    x = 78,197,744.10/9,774.24
  6. Step 6: Final answer
    x = 8,000.39

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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.