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Finding the Fourth Proportional to 6,994.00, 9,652.90 and 4,475.99

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Solution

The fourth proportional to 6,994.00, 9,652.90 and 4,475.99 is: 6,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.00 : 9,652.90 = 4,475.99 : x
  2. Step 2: Convert to fraction form
    6,994.00/9,652.90 = 4,475.99/x
  3. Step 3: Cross multiply
    6,994.00x = 9,652.90 × 4,475.99
  4. Step 4: Simplify right side
    6,994.00x = 43,206,292.62
  5. Step 5: Solve for x
    x = 43,206,292.62/6,994.00
  6. Step 6: Final answer
    x = 6,177.62

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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.