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Finding the Fourth Proportional to 8,215.78, 12,309.49 and 6,471.93

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Solution

The fourth proportional to 8,215.78, 12,309.49 and 6,471.93 is: 9,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.78 : 12,309.49 = 6,471.93 : x
  2. Step 2: Convert to fraction form
    8,215.78/12,309.49 = 6,471.93/x
  3. Step 3: Cross multiply
    8,215.78x = 12,309.49 × 6,471.93
  4. Step 4: Simplify right side
    8,215.78x = 79,666,157.62
  5. Step 5: Solve for x
    x = 79,666,157.62/8,215.78
  6. Step 6: Final answer
    x = 9,696.72

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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.