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Finding the Fourth Proportional to 9,727.88, 14,568.44 and 5,555.24

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Solution

The fourth proportional to 9,727.88, 14,568.44 and 5,555.24 is: 8,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.88 : 14,568.44 = 5,555.24 : x
  2. Step 2: Convert to fraction form
    9,727.88/14,568.44 = 5,555.24/x
  3. Step 3: Cross multiply
    9,727.88x = 14,568.44 × 5,555.24
  4. Step 4: Simplify right side
    9,727.88x = 80,931,080.01
  5. Step 5: Solve for x
    x = 80,931,080.01/9,727.88
  6. Step 6: Final answer
    x = 8,319.50

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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.