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Finding the Fourth Proportional to 6,203.44, 9,260.50 and 5,316.38

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Solution

The fourth proportional to 6,203.44, 9,260.50 and 5,316.38 is: 7,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.44 : 9,260.50 = 5,316.38 : x
  2. Step 2: Convert to fraction form
    6,203.44/9,260.50 = 5,316.38/x
  3. Step 3: Cross multiply
    6,203.44x = 9,260.50 × 5,316.38
  4. Step 4: Simplify right side
    6,203.44x = 49,232,277.40
  5. Step 5: Solve for x
    x = 49,232,277.40/6,203.44
  6. Step 6: Final answer
    x = 7,936.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.