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Finding the Fourth Proportional to 9,834.53, 13,573.13 and 5,586.03

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Solution

The fourth proportional to 9,834.53, 13,573.13 and 5,586.03 is: 7,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.53 : 13,573.13 = 5,586.03 : x
  2. Step 2: Convert to fraction form
    9,834.53/13,573.13 = 5,586.03/x
  3. Step 3: Cross multiply
    9,834.53x = 13,573.13 × 5,586.03
  4. Step 4: Simplify right side
    9,834.53x = 75,819,883.44
  5. Step 5: Solve for x
    x = 75,819,883.44/9,834.53
  6. Step 6: Final answer
    x = 7,709.56

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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.