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Finding the Fourth Proportional to 9,506.57, 14,263.50 and 3,958.42

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Solution

The fourth proportional to 9,506.57, 14,263.50 and 3,958.42 is: 5,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.57 : 14,263.50 = 3,958.42 : x
  2. Step 2: Convert to fraction form
    9,506.57/14,263.50 = 3,958.42/x
  3. Step 3: Cross multiply
    9,506.57x = 14,263.50 × 3,958.42
  4. Step 4: Simplify right side
    9,506.57x = 56,460,949.43
  5. Step 5: Solve for x
    x = 56,460,949.43/9,506.57
  6. Step 6: Final answer
    x = 5,939.15

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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.