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Finding the Fourth Proportional to 9,409.81, 14,114.27 and 3,861.78

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Solution

The fourth proportional to 9,409.81, 14,114.27 and 3,861.78 is: 5,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.81 : 14,114.27 = 3,861.78 : x
  2. Step 2: Convert to fraction form
    9,409.81/14,114.27 = 3,861.78/x
  3. Step 3: Cross multiply
    9,409.81x = 14,114.27 × 3,861.78
  4. Step 4: Simplify right side
    9,409.81x = 54,506,215.26
  5. Step 5: Solve for x
    x = 54,506,215.26/9,409.81
  6. Step 6: Final answer
    x = 5,792.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.