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Finding the Fourth Proportional to 6,536.99, 9,022.49 and 4,299.08

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Solution

The fourth proportional to 6,536.99, 9,022.49 and 4,299.08 is: 5,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.99 : 9,022.49 = 4,299.08 : x
  2. Step 2: Convert to fraction form
    6,536.99/9,022.49 = 4,299.08/x
  3. Step 3: Cross multiply
    6,536.99x = 9,022.49 × 4,299.08
  4. Step 4: Simplify right side
    6,536.99x = 38,788,339.70
  5. Step 5: Solve for x
    x = 38,788,339.70/6,536.99
  6. Step 6: Final answer
    x = 5,933.67

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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.