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Finding the Fourth Proportional to 9,571.46, 13,208.06 and 5,322.26

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Solution

The fourth proportional to 9,571.46, 13,208.06 and 5,322.26 is: 7,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.46 : 13,208.06 = 5,322.26 : x
  2. Step 2: Convert to fraction form
    9,571.46/13,208.06 = 5,322.26/x
  3. Step 3: Cross multiply
    9,571.46x = 13,208.06 × 5,322.26
  4. Step 4: Simplify right side
    9,571.46x = 70,296,775.74
  5. Step 5: Solve for x
    x = 70,296,775.74/9,571.46
  6. Step 6: Final answer
    x = 7,344.42

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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.