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Finding the Fourth Proportional to 9,532.23, 13,154.46 and 5,806.23

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Solution

The fourth proportional to 9,532.23, 13,154.46 and 5,806.23 is: 8,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.23 : 13,154.46 = 5,806.23 : x
  2. Step 2: Convert to fraction form
    9,532.23/13,154.46 = 5,806.23/x
  3. Step 3: Cross multiply
    9,532.23x = 13,154.46 × 5,806.23
  4. Step 4: Simplify right side
    9,532.23x = 76,377,820.29
  5. Step 5: Solve for x
    x = 76,377,820.29/9,532.23
  6. Step 6: Final answer
    x = 8,012.59

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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.