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Finding the Fourth Proportional to 6,389.01, 9,584.42 and 2,228.42

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Solution

The fourth proportional to 6,389.01, 9,584.42 and 2,228.42 is: 3,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.01 : 9,584.42 = 2,228.42 : x
  2. Step 2: Convert to fraction form
    6,389.01/9,584.42 = 2,228.42/x
  3. Step 3: Cross multiply
    6,389.01x = 9,584.42 × 2,228.42
  4. Step 4: Simplify right side
    6,389.01x = 21,358,113.22
  5. Step 5: Solve for x
    x = 21,358,113.22/6,389.01
  6. Step 6: Final answer
    x = 3,342.95

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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.