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Finding the Fourth Proportional to 6,801.30, 9,386.42 and 3,968.46

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Solution

The fourth proportional to 6,801.30, 9,386.42 and 3,968.46 is: 5,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.30 : 9,386.42 = 3,968.46 : x
  2. Step 2: Convert to fraction form
    6,801.30/9,386.42 = 3,968.46/x
  3. Step 3: Cross multiply
    6,801.30x = 9,386.42 × 3,968.46
  4. Step 4: Simplify right side
    6,801.30x = 37,249,632.31
  5. Step 5: Solve for x
    x = 37,249,632.31/6,801.30
  6. Step 6: Final answer
    x = 5,476.84

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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.