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Finding the Fourth Proportional to 9,405.68, 12,975.37 and 5,628.09

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Solution

The fourth proportional to 9,405.68, 12,975.37 and 5,628.09 is: 7,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.68 : 12,975.37 = 5,628.09 : x
  2. Step 2: Convert to fraction form
    9,405.68/12,975.37 = 5,628.09/x
  3. Step 3: Cross multiply
    9,405.68x = 12,975.37 × 5,628.09
  4. Step 4: Simplify right side
    9,405.68x = 73,026,561.65
  5. Step 5: Solve for x
    x = 73,026,561.65/9,405.68
  6. Step 6: Final answer
    x = 7,764.09

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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.