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Finding the Fourth Proportional to 9,384.96, 14,082.24 and 4,189.68

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Solution

The fourth proportional to 9,384.96, 14,082.24 and 4,189.68 is: 6,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.96 : 14,082.24 = 4,189.68 : x
  2. Step 2: Convert to fraction form
    9,384.96/14,082.24 = 4,189.68/x
  3. Step 3: Cross multiply
    9,384.96x = 14,082.24 × 4,189.68
  4. Step 4: Simplify right side
    9,384.96x = 59,000,079.28
  5. Step 5: Solve for x
    x = 59,000,079.28/9,384.96
  6. Step 6: Final answer
    x = 6,286.66

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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.