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Finding the Fourth Proportional to 6,684.87, 9,225.18 and 4,167.99

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Solution

The fourth proportional to 6,684.87, 9,225.18 and 4,167.99 is: 5,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.87 : 9,225.18 = 4,167.99 : x
  2. Step 2: Convert to fraction form
    6,684.87/9,225.18 = 4,167.99/x
  3. Step 3: Cross multiply
    6,684.87x = 9,225.18 × 4,167.99
  4. Step 4: Simplify right side
    6,684.87x = 38,450,457.99
  5. Step 5: Solve for x
    x = 38,450,457.99/6,684.87
  6. Step 6: Final answer
    x = 5,751.86

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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.