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Finding the Fourth Proportional to 6,294.33, 9,442.04 and 3,010.05

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Solution

The fourth proportional to 6,294.33, 9,442.04 and 3,010.05 is: 4,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.33 : 9,442.04 = 3,010.05 : x
  2. Step 2: Convert to fraction form
    6,294.33/9,442.04 = 3,010.05/x
  3. Step 3: Cross multiply
    6,294.33x = 9,442.04 × 3,010.05
  4. Step 4: Simplify right side
    6,294.33x = 28,421,049.79
  5. Step 5: Solve for x
    x = 28,421,049.79/6,294.33
  6. Step 6: Final answer
    x = 4,515.34

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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.