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Finding the Fourth Proportional to 6,952.31, 9,596.52 and 4,226.82

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Solution

The fourth proportional to 6,952.31, 9,596.52 and 4,226.82 is: 5,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.31 : 9,596.52 = 4,226.82 : x
  2. Step 2: Convert to fraction form
    6,952.31/9,596.52 = 4,226.82/x
  3. Step 3: Cross multiply
    6,952.31x = 9,596.52 × 4,226.82
  4. Step 4: Simplify right side
    6,952.31x = 40,562,762.67
  5. Step 5: Solve for x
    x = 40,562,762.67/6,952.31
  6. Step 6: Final answer
    x = 5,834.43

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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.