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Finding the Fourth Proportional to 9,924.78, 13,696.41 and 6,148.56

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Solution

The fourth proportional to 9,924.78, 13,696.41 and 6,148.56 is: 8,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.78 : 13,696.41 = 6,148.56 : x
  2. Step 2: Convert to fraction form
    9,924.78/13,696.41 = 6,148.56/x
  3. Step 3: Cross multiply
    9,924.78x = 13,696.41 × 6,148.56
  4. Step 4: Simplify right side
    9,924.78x = 84,213,198.67
  5. Step 5: Solve for x
    x = 84,213,198.67/9,924.78
  6. Step 6: Final answer
    x = 8,485.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.