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Finding the Fourth Proportional to 6,995.52, 9,633 and 6,840.33

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Solution

The fourth proportional to 6,995.52, 9,633 and 6,840.33 is: 9,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.52 : 9,633 = 6,840.33 : x
  2. Step 2: Convert to fraction form
    6,995.52/9,633 = 6,840.33/x
  3. Step 3: Cross multiply
    6,995.52x = 9,633 × 6,840.33
  4. Step 4: Simplify right side
    6,995.52x = 65,892,898.89
  5. Step 5: Solve for x
    x = 65,892,898.89/6,995.52
  6. Step 6: Final answer
    x = 9,419.30

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