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Finding the Fourth Proportional to 9,571.28, 13,207 and 5,322.04

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Solution

The fourth proportional to 9,571.28, 13,207 and 5,322.04 is: 7,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.28 : 13,207 = 5,322.04 : x
  2. Step 2: Convert to fraction form
    9,571.28/13,207 = 5,322.04/x
  3. Step 3: Cross multiply
    9,571.28x = 13,207 × 5,322.04
  4. Step 4: Simplify right side
    9,571.28x = 70,288,182.28
  5. Step 5: Solve for x
    x = 70,288,182.28/9,571.28
  6. Step 6: Final answer
    x = 7,343.66

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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.