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Finding the Fourth Proportional to 9,594.06, 13,236.17 and 5,815.85

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Solution

The fourth proportional to 9,594.06, 13,236.17 and 5,815.85 is: 8,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.06 : 13,236.17 = 5,815.85 : x
  2. Step 2: Convert to fraction form
    9,594.06/13,236.17 = 5,815.85/x
  3. Step 3: Cross multiply
    9,594.06x = 13,236.17 × 5,815.85
  4. Step 4: Simplify right side
    9,594.06x = 76,979,558.49
  5. Step 5: Solve for x
    x = 76,979,558.49/9,594.06
  6. Step 6: Final answer
    x = 8,023.67

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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.