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Finding the Fourth Proportional to 6,389.99, 9,585.89 and 2,229.40

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Solution

The fourth proportional to 6,389.99, 9,585.89 and 2,229.40 is: 3,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.99 : 9,585.89 = 2,229.40 : x
  2. Step 2: Convert to fraction form
    6,389.99/9,585.89 = 2,229.40/x
  3. Step 3: Cross multiply
    6,389.99x = 9,585.89 × 2,229.40
  4. Step 4: Simplify right side
    6,389.99x = 21,370,783.17
  5. Step 5: Solve for x
    x = 21,370,783.17/6,389.99
  6. Step 6: Final answer
    x = 3,344.42

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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.