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Finding the Fourth Proportional to 9,861.46, 13,610.01 and 5,613.56

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Solution

The fourth proportional to 9,861.46, 13,610.01 and 5,613.56 is: 7,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.46 : 13,610.01 = 5,613.56 : x
  2. Step 2: Convert to fraction form
    9,861.46/13,610.01 = 5,613.56/x
  3. Step 3: Cross multiply
    9,861.46x = 13,610.01 × 5,613.56
  4. Step 4: Simplify right side
    9,861.46x = 76,400,607.74
  5. Step 5: Solve for x
    x = 76,400,607.74/9,861.46
  6. Step 6: Final answer
    x = 7,747.39

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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.