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Finding the Fourth Proportional to 10,451.48, 15,734.26 and 9,532.94

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Solution

The fourth proportional to 10,451.48, 15,734.26 and 9,532.94 is: 14,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.48 : 15,734.26 = 9,532.94 : x
  2. Step 2: Convert to fraction form
    10,451.48/15,734.26 = 9,532.94/x
  3. Step 3: Cross multiply
    10,451.48x = 15,734.26 × 9,532.94
  4. Step 4: Simplify right side
    10,451.48x = 149,993,708.86
  5. Step 5: Solve for x
    x = 149,993,708.86/10,451.48
  6. Step 6: Final answer
    x = 14,351.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.