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Finding the Fourth Proportional to 9,260.80, 13,889.04 and 3,718.24

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Solution

The fourth proportional to 9,260.80, 13,889.04 and 3,718.24 is: 5,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.80 : 13,889.04 = 3,718.24 : x
  2. Step 2: Convert to fraction form
    9,260.80/13,889.04 = 3,718.24/x
  3. Step 3: Cross multiply
    9,260.80x = 13,889.04 × 3,718.24
  4. Step 4: Simplify right side
    9,260.80x = 51,642,784.09
  5. Step 5: Solve for x
    x = 51,642,784.09/9,260.80
  6. Step 6: Final answer
    x = 5,576.49

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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.