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Finding the Fourth Proportional to 6,810.85, 9,396.52 and 4,454.34

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Solution

The fourth proportional to 6,810.85, 9,396.52 and 4,454.34 is: 6,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.85 : 9,396.52 = 4,454.34 : x
  2. Step 2: Convert to fraction form
    6,810.85/9,396.52 = 4,454.34/x
  3. Step 3: Cross multiply
    6,810.85x = 9,396.52 × 4,454.34
  4. Step 4: Simplify right side
    6,810.85x = 41,855,294.90
  5. Step 5: Solve for x
    x = 41,855,294.90/6,810.85
  6. Step 6: Final answer
    x = 6,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.