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Finding the Fourth Proportional to 6,852.04, 9,455.82 and 3,708.23

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Solution

The fourth proportional to 6,852.04, 9,455.82 and 3,708.23 is: 5,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.04 : 9,455.82 = 3,708.23 : x
  2. Step 2: Convert to fraction form
    6,852.04/9,455.82 = 3,708.23/x
  3. Step 3: Cross multiply
    6,852.04x = 9,455.82 × 3,708.23
  4. Step 4: Simplify right side
    6,852.04x = 35,064,361.31
  5. Step 5: Solve for x
    x = 35,064,361.31/6,852.04
  6. Step 6: Final answer
    x = 5,117.36

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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.