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Finding the Fourth Proportional to 9,574.16, 13,212.34 and 5,382.41

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Solution

The fourth proportional to 9,574.16, 13,212.34 and 5,382.41 is: 7,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.16 : 13,212.34 = 5,382.41 : x
  2. Step 2: Convert to fraction form
    9,574.16/13,212.34 = 5,382.41/x
  3. Step 3: Cross multiply
    9,574.16x = 13,212.34 × 5,382.41
  4. Step 4: Simplify right side
    9,574.16x = 71,114,230.94
  5. Step 5: Solve for x
    x = 71,114,230.94/9,574.16
  6. Step 6: Final answer
    x = 7,427.73

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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.