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Finding the Fourth Proportional to 9,559.58, 13,186.87 and 6,016.64

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Solution

The fourth proportional to 9,559.58, 13,186.87 and 6,016.64 is: 8,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.58 : 13,186.87 = 6,016.64 : x
  2. Step 2: Convert to fraction form
    9,559.58/13,186.87 = 6,016.64/x
  3. Step 3: Cross multiply
    9,559.58x = 13,186.87 × 6,016.64
  4. Step 4: Simplify right side
    9,559.58x = 79,340,568.54
  5. Step 5: Solve for x
    x = 79,340,568.54/9,559.58
  6. Step 6: Final answer
    x = 8,299.59

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