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Finding the Fourth Proportional to 9,414.96, 14,107.88 and 3,568.40

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Solution

The fourth proportional to 9,414.96, 14,107.88 and 3,568.40 is: 5,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.96 : 14,107.88 = 3,568.40 : x
  2. Step 2: Convert to fraction form
    9,414.96/14,107.88 = 3,568.40/x
  3. Step 3: Cross multiply
    9,414.96x = 14,107.88 × 3,568.40
  4. Step 4: Simplify right side
    9,414.96x = 50,342,558.99
  5. Step 5: Solve for x
    x = 50,342,558.99/9,414.96
  6. Step 6: Final answer
    x = 5,347.08

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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.