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Finding the Fourth Proportional to 6,678.84, 9,215.76 and 3,846.33

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Solution

The fourth proportional to 6,678.84, 9,215.76 and 3,846.33 is: 5,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.84 : 9,215.76 = 3,846.33 : x
  2. Step 2: Convert to fraction form
    6,678.84/9,215.76 = 3,846.33/x
  3. Step 3: Cross multiply
    6,678.84x = 9,215.76 × 3,846.33
  4. Step 4: Simplify right side
    6,678.84x = 35,446,832.36
  5. Step 5: Solve for x
    x = 35,446,832.36/6,678.84
  6. Step 6: Final answer
    x = 5,307.34

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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.