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Finding the Fourth Proportional to 9,437.82, 13,028.22 and 5,900.28

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Solution

The fourth proportional to 9,437.82, 13,028.22 and 5,900.28 is: 8,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.82 : 13,028.22 = 5,900.28 : x
  2. Step 2: Convert to fraction form
    9,437.82/13,028.22 = 5,900.28/x
  3. Step 3: Cross multiply
    9,437.82x = 13,028.22 × 5,900.28
  4. Step 4: Simplify right side
    9,437.82x = 76,870,145.90
  5. Step 5: Solve for x
    x = 76,870,145.90/9,437.82
  6. Step 6: Final answer
    x = 8,144.90

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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.