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Finding the Fourth Proportional to 9,773.46, 13,489.08 and 5,795.96

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Solution

The fourth proportional to 9,773.46, 13,489.08 and 5,795.96 is: 7,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.46 : 13,489.08 = 5,795.96 : x
  2. Step 2: Convert to fraction form
    9,773.46/13,489.08 = 5,795.96/x
  3. Step 3: Cross multiply
    9,773.46x = 13,489.08 × 5,795.96
  4. Step 4: Simplify right side
    9,773.46x = 78,182,168.12
  5. Step 5: Solve for x
    x = 78,182,168.12/9,773.46
  6. Step 6: Final answer
    x = 7,999.44

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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.