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Finding the Fourth Proportional to 6,997.70, 9,653.87 and 4,635.74

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Solution

The fourth proportional to 6,997.70, 9,653.87 and 4,635.74 is: 6,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.70 : 9,653.87 = 4,635.74 : x
  2. Step 2: Convert to fraction form
    6,997.70/9,653.87 = 4,635.74/x
  3. Step 3: Cross multiply
    6,997.70x = 9,653.87 × 4,635.74
  4. Step 4: Simplify right side
    6,997.70x = 44,752,867.04
  5. Step 5: Solve for x
    x = 44,752,867.04/6,997.70
  6. Step 6: Final answer
    x = 6,395.37

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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.