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Finding the Fourth Proportional to 12,709.86, 19,053.41 and 6,466.38

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Solution

The fourth proportional to 12,709.86, 19,053.41 and 6,466.38 is: 9,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.86 : 19,053.41 = 6,466.38 : x
  2. Step 2: Convert to fraction form
    12,709.86/19,053.41 = 6,466.38/x
  3. Step 3: Cross multiply
    12,709.86x = 19,053.41 × 6,466.38
  4. Step 4: Simplify right side
    12,709.86x = 123,206,589.36
  5. Step 5: Solve for x
    x = 123,206,589.36/12,709.86
  6. Step 6: Final answer
    x = 9,693.78

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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.