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Finding the Fourth Proportional to 9,361.78, 12,920.01 and 5,825.52

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Solution

The fourth proportional to 9,361.78, 12,920.01 and 5,825.52 is: 8,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.78 : 12,920.01 = 5,825.52 : x
  2. Step 2: Convert to fraction form
    9,361.78/12,920.01 = 5,825.52/x
  3. Step 3: Cross multiply
    9,361.78x = 12,920.01 × 5,825.52
  4. Step 4: Simplify right side
    9,361.78x = 75,265,754.81
  5. Step 5: Solve for x
    x = 75,265,754.81/9,361.78
  6. Step 6: Final answer
    x = 8,039.69

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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.