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Finding the Fourth Proportional to 6,995.73, 9,653.67 and 3,851.91

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Solution

The fourth proportional to 6,995.73, 9,653.67 and 3,851.91 is: 5,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.73 : 9,653.67 = 3,851.91 : x
  2. Step 2: Convert to fraction form
    6,995.73/9,653.67 = 3,851.91/x
  3. Step 3: Cross multiply
    6,995.73x = 9,653.67 × 3,851.91
  4. Step 4: Simplify right side
    6,995.73x = 37,185,068.01
  5. Step 5: Solve for x
    x = 37,185,068.01/6,995.73
  6. Step 6: Final answer
    x = 5,315.39

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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.