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Finding the Fourth Proportional to 6,998.13, 9,654.30 and 4,728.74

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Solution

The fourth proportional to 6,998.13, 9,654.30 and 4,728.74 is: 6,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.13 : 9,654.30 = 4,728.74 : x
  2. Step 2: Convert to fraction form
    6,998.13/9,654.30 = 4,728.74/x
  3. Step 3: Cross multiply
    6,998.13x = 9,654.30 × 4,728.74
  4. Step 4: Simplify right side
    6,998.13x = 45,652,698.72
  5. Step 5: Solve for x
    x = 45,652,698.72/6,998.13
  6. Step 6: Final answer
    x = 6,523.56

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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.