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Finding the Fourth Proportional to 9,493.57, 13,100.86 and 5,244.94

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Solution

The fourth proportional to 9,493.57, 13,100.86 and 5,244.94 is: 7,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.57 : 13,100.86 = 5,244.94 : x
  2. Step 2: Convert to fraction form
    9,493.57/13,100.86 = 5,244.94/x
  3. Step 3: Cross multiply
    9,493.57x = 13,100.86 × 5,244.94
  4. Step 4: Simplify right side
    9,493.57x = 68,713,224.65
  5. Step 5: Solve for x
    x = 68,713,224.65/9,493.57
  6. Step 6: Final answer
    x = 7,237.87

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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.