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Finding the Fourth Proportional to 9,786.11, 13,505.49 and 5,537.16

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Solution

The fourth proportional to 9,786.11, 13,505.49 and 5,537.16 is: 7,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.11 : 13,505.49 = 5,537.16 : x
  2. Step 2: Convert to fraction form
    9,786.11/13,505.49 = 5,537.16/x
  3. Step 3: Cross multiply
    9,786.11x = 13,505.49 × 5,537.16
  4. Step 4: Simplify right side
    9,786.11x = 74,782,059.01
  5. Step 5: Solve for x
    x = 74,782,059.01/9,786.11
  6. Step 6: Final answer
    x = 7,641.66

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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.