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Finding the Fourth Proportional to 9,393.27, 14,082.62 and 3,848.01

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Solution

The fourth proportional to 9,393.27, 14,082.62 and 3,848.01 is: 5,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.27 : 14,082.62 = 3,848.01 : x
  2. Step 2: Convert to fraction form
    9,393.27/14,082.62 = 3,848.01/x
  3. Step 3: Cross multiply
    9,393.27x = 14,082.62 × 3,848.01
  4. Step 4: Simplify right side
    9,393.27x = 54,190,043.35
  5. Step 5: Solve for x
    x = 54,190,043.35/9,393.27
  6. Step 6: Final answer
    x = 5,769.03

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Why These Related Problems?

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