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Finding the Fourth Proportional to 6,047.44, 9,054.75 and 5,300.21

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Solution

The fourth proportional to 6,047.44, 9,054.75 and 5,300.21 is: 7,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.44 : 9,054.75 = 5,300.21 : x
  2. Step 2: Convert to fraction form
    6,047.44/9,054.75 = 5,300.21/x
  3. Step 3: Cross multiply
    6,047.44x = 9,054.75 × 5,300.21
  4. Step 4: Simplify right side
    6,047.44x = 47,992,109.07
  5. Step 5: Solve for x
    x = 47,992,109.07/6,047.44
  6. Step 6: Final answer
    x = 7,935.94

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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.