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Finding the Fourth Proportional to 6,993.12, 9,647.46 and 4,197

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Solution

The fourth proportional to 6,993.12, 9,647.46 and 4,197 is: 5,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.12 : 9,647.46 = 4,197 : x
  2. Step 2: Convert to fraction form
    6,993.12/9,647.46 = 4,197/x
  3. Step 3: Cross multiply
    6,993.12x = 9,647.46 × 4,197
  4. Step 4: Simplify right side
    6,993.12x = 40,490,389.62
  5. Step 5: Solve for x
    x = 40,490,389.62/6,993.12
  6. Step 6: Final answer
    x = 5,790.03

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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.