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Finding the Fourth Proportional to 9,571.11, 13,208.16 and 5,322.56

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Solution

The fourth proportional to 9,571.11, 13,208.16 and 5,322.56 is: 7,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.11 : 13,208.16 = 5,322.56 : x
  2. Step 2: Convert to fraction form
    9,571.11/13,208.16 = 5,322.56/x
  3. Step 3: Cross multiply
    9,571.11x = 13,208.16 × 5,322.56
  4. Step 4: Simplify right side
    9,571.11x = 70,301,178.01
  5. Step 5: Solve for x
    x = 70,301,178.01/9,571.11
  6. Step 6: Final answer
    x = 7,345.15

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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.