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Finding the Fourth Proportional to 9,811.53, 13,537.80 and 5,834.03

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Solution

The fourth proportional to 9,811.53, 13,537.80 and 5,834.03 is: 8,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.53 : 13,537.80 = 5,834.03 : x
  2. Step 2: Convert to fraction form
    9,811.53/13,537.80 = 5,834.03/x
  3. Step 3: Cross multiply
    9,811.53x = 13,537.80 × 5,834.03
  4. Step 4: Simplify right side
    9,811.53x = 78,979,863.65
  5. Step 5: Solve for x
    x = 78,979,863.65/9,811.53
  6. Step 6: Final answer
    x = 8,049.70

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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.