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Finding the Fourth Proportional to 9,571.47, 13,208.51 and 5,322.50

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Solution

The fourth proportional to 9,571.47, 13,208.51 and 5,322.50 is: 7,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.47 : 13,208.51 = 5,322.50 : x
  2. Step 2: Convert to fraction form
    9,571.47/13,208.51 = 5,322.50/x
  3. Step 3: Cross multiply
    9,571.47x = 13,208.51 × 5,322.50
  4. Step 4: Simplify right side
    9,571.47x = 70,302,201.82
  5. Step 5: Solve for x
    x = 70,302,201.82/9,571.47
  6. Step 6: Final answer
    x = 7,344.97

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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.