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Finding the Fourth Proportional to 6,623.40, 9,942.38 and 5,596.14

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Solution

The fourth proportional to 6,623.40, 9,942.38 and 5,596.14 is: 8,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.40 : 9,942.38 = 5,596.14 : x
  2. Step 2: Convert to fraction form
    6,623.40/9,942.38 = 5,596.14/x
  3. Step 3: Cross multiply
    6,623.40x = 9,942.38 × 5,596.14
  4. Step 4: Simplify right side
    6,623.40x = 55,638,950.41
  5. Step 5: Solve for x
    x = 55,638,950.41/6,623.40
  6. Step 6: Final answer
    x = 8,400.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.