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Finding the Fourth Proportional to 9,574.26, 13,212.64 and 5,382.52

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Solution

The fourth proportional to 9,574.26, 13,212.64 and 5,382.52 is: 7,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.26 : 13,212.64 = 5,382.52 : x
  2. Step 2: Convert to fraction form
    9,574.26/13,212.64 = 5,382.52/x
  3. Step 3: Cross multiply
    9,574.26x = 13,212.64 × 5,382.52
  4. Step 4: Simplify right side
    9,574.26x = 71,117,299.05
  5. Step 5: Solve for x
    x = 71,117,299.05/9,574.26
  6. Step 6: Final answer
    x = 7,427.97

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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.