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Finding the Fourth Proportional to 6,484.36, 9,702 and 3,853.28

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Solution

The fourth proportional to 6,484.36, 9,702 and 3,853.28 is: 5,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.36 : 9,702 = 3,853.28 : x
  2. Step 2: Convert to fraction form
    6,484.36/9,702 = 3,853.28/x
  3. Step 3: Cross multiply
    6,484.36x = 9,702 × 3,853.28
  4. Step 4: Simplify right side
    6,484.36x = 37,384,522.56
  5. Step 5: Solve for x
    x = 37,384,522.56/6,484.36
  6. Step 6: Final answer
    x = 5,765.34

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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.