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Finding the Fourth Proportional to 9,813.87, 13,538.37 and 5,832.16

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Solution

The fourth proportional to 9,813.87, 13,538.37 and 5,832.16 is: 8,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.87 : 13,538.37 = 5,832.16 : x
  2. Step 2: Convert to fraction form
    9,813.87/13,538.37 = 5,832.16/x
  3. Step 3: Cross multiply
    9,813.87x = 13,538.37 × 5,832.16
  4. Step 4: Simplify right side
    9,813.87x = 78,957,939.98
  5. Step 5: Solve for x
    x = 78,957,939.98/9,813.87
  6. Step 6: Final answer
    x = 8,045.55

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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.