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Finding the Fourth Proportional to 6,680.00, 9,189.05 and 6,410.27

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Solution

The fourth proportional to 6,680.00, 9,189.05 and 6,410.27 is: 8,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.00 : 9,189.05 = 6,410.27 : x
  2. Step 2: Convert to fraction form
    6,680.00/9,189.05 = 6,410.27/x
  3. Step 3: Cross multiply
    6,680.00x = 9,189.05 × 6,410.27
  4. Step 4: Simplify right side
    6,680.00x = 58,904,282.46
  5. Step 5: Solve for x
    x = 58,904,282.46/6,680.00
  6. Step 6: Final answer
    x = 8,818.00

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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.