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Finding the Fourth Proportional to 9,529.88, 13,151.23 and 5,338.22

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Solution

The fourth proportional to 9,529.88, 13,151.23 and 5,338.22 is: 7,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.88 : 13,151.23 = 5,338.22 : x
  2. Step 2: Convert to fraction form
    9,529.88/13,151.23 = 5,338.22/x
  3. Step 3: Cross multiply
    9,529.88x = 13,151.23 × 5,338.22
  4. Step 4: Simplify right side
    9,529.88x = 70,204,079.91
  5. Step 5: Solve for x
    x = 70,204,079.91/9,529.88
  6. Step 6: Final answer
    x = 7,366.74

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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.