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Finding the Fourth Proportional to 6,542.34, 9,814.19 and 2,098.45

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Solution

The fourth proportional to 6,542.34, 9,814.19 and 2,098.45 is: 3,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.34 : 9,814.19 = 2,098.45 : x
  2. Step 2: Convert to fraction form
    6,542.34/9,814.19 = 2,098.45/x
  3. Step 3: Cross multiply
    6,542.34x = 9,814.19 × 2,098.45
  4. Step 4: Simplify right side
    6,542.34x = 20,594,587.01
  5. Step 5: Solve for x
    x = 20,594,587.01/6,542.34
  6. Step 6: Final answer
    x = 3,147.89

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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.