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Finding the Fourth Proportional to 9,571.64, 13,208.00 and 5,322.51

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Solution

The fourth proportional to 9,571.64, 13,208.00 and 5,322.51 is: 7,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.64 : 13,208.00 = 5,322.51 : x
  2. Step 2: Convert to fraction form
    9,571.64/13,208.00 = 5,322.51/x
  3. Step 3: Cross multiply
    9,571.64x = 13,208.00 × 5,322.51
  4. Step 4: Simplify right side
    9,571.64x = 70,299,685.47
  5. Step 5: Solve for x
    x = 70,299,685.47/9,571.64
  6. Step 6: Final answer
    x = 7,344.58

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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.