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Finding the Fourth Proportional to 9,577.82, 14,362.09 and 3,338.19

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Solution

The fourth proportional to 9,577.82, 14,362.09 and 3,338.19 is: 5,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.82 : 14,362.09 = 3,338.19 : x
  2. Step 2: Convert to fraction form
    9,577.82/14,362.09 = 3,338.19/x
  3. Step 3: Cross multiply
    9,577.82x = 14,362.09 × 3,338.19
  4. Step 4: Simplify right side
    9,577.82x = 47,943,376.87
  5. Step 5: Solve for x
    x = 47,943,376.87/9,577.82
  6. Step 6: Final answer
    x = 5,005.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.