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Finding the Fourth Proportional to 6,207.15, 9,316.19 and 5,233.93

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Solution

The fourth proportional to 6,207.15, 9,316.19 and 5,233.93 is: 7,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.15 : 9,316.19 = 5,233.93 : x
  2. Step 2: Convert to fraction form
    6,207.15/9,316.19 = 5,233.93/x
  3. Step 3: Cross multiply
    6,207.15x = 9,316.19 × 5,233.93
  4. Step 4: Simplify right side
    6,207.15x = 48,760,286.33
  5. Step 5: Solve for x
    x = 48,760,286.33/6,207.15
  6. Step 6: Final answer
    x = 7,855.50

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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.