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Finding the Fourth Proportional to 9,656.55, 13,327.38 and 6,120.09

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Solution

The fourth proportional to 9,656.55, 13,327.38 and 6,120.09 is: 8,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.55 : 13,327.38 = 6,120.09 : x
  2. Step 2: Convert to fraction form
    9,656.55/13,327.38 = 6,120.09/x
  3. Step 3: Cross multiply
    9,656.55x = 13,327.38 × 6,120.09
  4. Step 4: Simplify right side
    9,656.55x = 81,564,765.06
  5. Step 5: Solve for x
    x = 81,564,765.06/9,656.55
  6. Step 6: Final answer
    x = 8,446.57

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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.