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Finding the Fourth Proportional to 6,833.30, 9,361.65 and 6,577.33

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Solution

The fourth proportional to 6,833.30, 9,361.65 and 6,577.33 is: 9,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.30 : 9,361.65 = 6,577.33 : x
  2. Step 2: Convert to fraction form
    6,833.30/9,361.65 = 6,577.33/x
  3. Step 3: Cross multiply
    6,833.30x = 9,361.65 × 6,577.33
  4. Step 4: Simplify right side
    6,833.30x = 61,574,628.51
  5. Step 5: Solve for x
    x = 61,574,628.51/6,833.30
  6. Step 6: Final answer
    x = 9,010.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.