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Finding the Fourth Proportional to 9,677.82, 13,362.94 and 7,436.14

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Solution

The fourth proportional to 9,677.82, 13,362.94 and 7,436.14 is: 10,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.82 : 13,362.94 = 7,436.14 : x
  2. Step 2: Convert to fraction form
    9,677.82/13,362.94 = 7,436.14/x
  3. Step 3: Cross multiply
    9,677.82x = 13,362.94 × 7,436.14
  4. Step 4: Simplify right side
    9,677.82x = 99,368,692.65
  5. Step 5: Solve for x
    x = 99,368,692.65/9,677.82
  6. Step 6: Final answer
    x = 10,267.67

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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.