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Finding the Fourth Proportional to 12,764.66, 19,147.01 and 6,191.81

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Solution

The fourth proportional to 12,764.66, 19,147.01 and 6,191.81 is: 9,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.66 : 19,147.01 = 6,191.81 : x
  2. Step 2: Convert to fraction form
    12,764.66/19,147.01 = 6,191.81/x
  3. Step 3: Cross multiply
    12,764.66x = 19,147.01 × 6,191.81
  4. Step 4: Simplify right side
    12,764.66x = 118,554,617.03
  5. Step 5: Solve for x
    x = 118,554,617.03/12,764.66
  6. Step 6: Final answer
    x = 9,287.72

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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.