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Finding the Fourth Proportional to 6,805.44, 9,384 and 4,681.92

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Solution

The fourth proportional to 6,805.44, 9,384 and 4,681.92 is: 6,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.44 : 9,384 = 4,681.92 : x
  2. Step 2: Convert to fraction form
    6,805.44/9,384 = 4,681.92/x
  3. Step 3: Cross multiply
    6,805.44x = 9,384 × 4,681.92
  4. Step 4: Simplify right side
    6,805.44x = 43,935,137.28
  5. Step 5: Solve for x
    x = 43,935,137.28/6,805.44
  6. Step 6: Final answer
    x = 6,455.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.