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Finding the Fourth Proportional to 6,684.99, 9,215.67 and 4,689.36

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Solution

The fourth proportional to 6,684.99, 9,215.67 and 4,689.36 is: 6,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.99 : 9,215.67 = 4,689.36 : x
  2. Step 2: Convert to fraction form
    6,684.99/9,215.67 = 4,689.36/x
  3. Step 3: Cross multiply
    6,684.99x = 9,215.67 × 4,689.36
  4. Step 4: Simplify right side
    6,684.99x = 43,215,594.27
  5. Step 5: Solve for x
    x = 43,215,594.27/6,684.99
  6. Step 6: Final answer
    x = 6,464.57

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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.