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Finding the Fourth Proportional to 9,924.12, 13,693.62 and 5,731.56

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Solution

The fourth proportional to 9,924.12, 13,693.62 and 5,731.56 is: 7,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.12 : 13,693.62 = 5,731.56 : x
  2. Step 2: Convert to fraction form
    9,924.12/13,693.62 = 5,731.56/x
  3. Step 3: Cross multiply
    9,924.12x = 13,693.62 × 5,731.56
  4. Step 4: Simplify right side
    9,924.12x = 78,485,804.65
  5. Step 5: Solve for x
    x = 78,485,804.65/9,924.12
  6. Step 6: Final answer
    x = 7,908.59

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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.