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Finding the Fourth Proportional to 9,388.83, 14,082.96 and 3,840.69

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Solution

The fourth proportional to 9,388.83, 14,082.96 and 3,840.69 is: 5,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.83 : 14,082.96 = 3,840.69 : x
  2. Step 2: Convert to fraction form
    9,388.83/14,082.96 = 3,840.69/x
  3. Step 3: Cross multiply
    9,388.83x = 14,082.96 × 3,840.69
  4. Step 4: Simplify right side
    9,388.83x = 54,088,283.64
  5. Step 5: Solve for x
    x = 54,088,283.64/9,388.83
  6. Step 6: Final answer
    x = 5,760.92

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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.