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Finding the Fourth Proportional to 9,493.56, 13,099.32 and 6,669.63

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Solution

The fourth proportional to 9,493.56, 13,099.32 and 6,669.63 is: 9,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.56 : 13,099.32 = 6,669.63 : x
  2. Step 2: Convert to fraction form
    9,493.56/13,099.32 = 6,669.63/x
  3. Step 3: Cross multiply
    9,493.56x = 13,099.32 × 6,669.63
  4. Step 4: Simplify right side
    9,493.56x = 87,367,617.65
  5. Step 5: Solve for x
    x = 87,367,617.65/9,493.56
  6. Step 6: Final answer
    x = 9,202.83

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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.