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Finding the Fourth Proportional to 9,563.96, 14,340.42 and 3,713.74

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Solution

The fourth proportional to 9,563.96, 14,340.42 and 3,713.74 is: 5,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.96 : 14,340.42 = 3,713.74 : x
  2. Step 2: Convert to fraction form
    9,563.96/14,340.42 = 3,713.74/x
  3. Step 3: Cross multiply
    9,563.96x = 14,340.42 × 3,713.74
  4. Step 4: Simplify right side
    9,563.96x = 53,256,591.37
  5. Step 5: Solve for x
    x = 53,256,591.37/9,563.96
  6. Step 6: Final answer
    x = 5,568.47

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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.