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Finding the Fourth Proportional to 6,463.12, 9,697.98 and 2,764.35

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Solution

The fourth proportional to 6,463.12, 9,697.98 and 2,764.35 is: 4,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.12 : 9,697.98 = 2,764.35 : x
  2. Step 2: Convert to fraction form
    6,463.12/9,697.98 = 2,764.35/x
  3. Step 3: Cross multiply
    6,463.12x = 9,697.98 × 2,764.35
  4. Step 4: Simplify right side
    6,463.12x = 26,808,633.11
  5. Step 5: Solve for x
    x = 26,808,633.11/6,463.12
  6. Step 6: Final answer
    x = 4,147.94

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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.