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Finding the Fourth Proportional to 9,287.37, 13,927.07 and 5,772.11

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Solution

The fourth proportional to 9,287.37, 13,927.07 and 5,772.11 is: 8,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.37 : 13,927.07 = 5,772.11 : x
  2. Step 2: Convert to fraction form
    9,287.37/13,927.07 = 5,772.11/x
  3. Step 3: Cross multiply
    9,287.37x = 13,927.07 × 5,772.11
  4. Step 4: Simplify right side
    9,287.37x = 80,388,481.52
  5. Step 5: Solve for x
    x = 80,388,481.52/9,287.37
  6. Step 6: Final answer
    x = 8,655.68

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1.5x scale

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.