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Finding the Fourth Proportional to 6,103.98, 9,151.88 and 3,184.34

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Solution

The fourth proportional to 6,103.98, 9,151.88 and 3,184.34 is: 4,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.98 : 9,151.88 = 3,184.34 : x
  2. Step 2: Convert to fraction form
    6,103.98/9,151.88 = 3,184.34/x
  3. Step 3: Cross multiply
    6,103.98x = 9,151.88 × 3,184.34
  4. Step 4: Simplify right side
    6,103.98x = 29,142,635.88
  5. Step 5: Solve for x
    x = 29,142,635.88/6,103.98
  6. Step 6: Final answer
    x = 4,774.37

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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.