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Finding the Fourth Proportional to 6,098.70, 9,148.05 and 5,796.30

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Solution

The fourth proportional to 6,098.70, 9,148.05 and 5,796.30 is: 8,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.70 : 9,148.05 = 5,796.30 : x
  2. Step 2: Convert to fraction form
    6,098.70/9,148.05 = 5,796.30/x
  3. Step 3: Cross multiply
    6,098.70x = 9,148.05 × 5,796.30
  4. Step 4: Simplify right side
    6,098.70x = 53,024,842.22
  5. Step 5: Solve for x
    x = 53,024,842.22/6,098.70
  6. Step 6: Final answer
    x = 8,694.45

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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.