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Finding the Fourth Proportional to 6,809.84, 9,395.16 and 4,453.36

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Solution

The fourth proportional to 6,809.84, 9,395.16 and 4,453.36 is: 6,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.84 : 9,395.16 = 4,453.36 : x
  2. Step 2: Convert to fraction form
    6,809.84/9,395.16 = 4,453.36/x
  3. Step 3: Cross multiply
    6,809.84x = 9,395.16 × 4,453.36
  4. Step 4: Simplify right side
    6,809.84x = 41,840,029.74
  5. Step 5: Solve for x
    x = 41,840,029.74/6,809.84
  6. Step 6: Final answer
    x = 6,144.05

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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.