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Finding the Fourth Proportional to 9,588.26, 14,384.21 and 3,744.50

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Solution

The fourth proportional to 9,588.26, 14,384.21 and 3,744.50 is: 5,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.26 : 14,384.21 = 3,744.50 : x
  2. Step 2: Convert to fraction form
    9,588.26/14,384.21 = 3,744.50/x
  3. Step 3: Cross multiply
    9,588.26x = 14,384.21 × 3,744.50
  4. Step 4: Simplify right side
    9,588.26x = 53,861,674.35
  5. Step 5: Solve for x
    x = 53,861,674.35/9,588.26
  6. Step 6: Final answer
    x = 5,617.46

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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.