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Finding the Fourth Proportional to 6,810.84, 9,396.54 and 4,454.36

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Solution

The fourth proportional to 6,810.84, 9,396.54 and 4,454.36 is: 6,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.84 : 9,396.54 = 4,454.36 : x
  2. Step 2: Convert to fraction form
    6,810.84/9,396.54 = 4,454.36/x
  3. Step 3: Cross multiply
    6,810.84x = 9,396.54 × 4,454.36
  4. Step 4: Simplify right side
    6,810.84x = 41,855,571.91
  5. Step 5: Solve for x
    x = 41,855,571.91/6,810.84
  6. Step 6: Final answer
    x = 6,145.43

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