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Finding the Fourth Proportional to 9,410.32, 14,120.07 and 3,865.33

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Solution

The fourth proportional to 9,410.32, 14,120.07 and 3,865.33 is: 5,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.32 : 14,120.07 = 3,865.33 : x
  2. Step 2: Convert to fraction form
    9,410.32/14,120.07 = 3,865.33/x
  3. Step 3: Cross multiply
    9,410.32x = 14,120.07 × 3,865.33
  4. Step 4: Simplify right side
    9,410.32x = 54,578,730.17
  5. Step 5: Solve for x
    x = 54,578,730.17/9,410.32
  6. Step 6: Final answer
    x = 5,799.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.