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Finding the Fourth Proportional to 6,801.42, 9,386.16 and 3,817.21

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Solution

The fourth proportional to 6,801.42, 9,386.16 and 3,817.21 is: 5,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.42 : 9,386.16 = 3,817.21 : x
  2. Step 2: Convert to fraction form
    6,801.42/9,386.16 = 3,817.21/x
  3. Step 3: Cross multiply
    6,801.42x = 9,386.16 × 3,817.21
  4. Step 4: Simplify right side
    6,801.42x = 35,828,943.81
  5. Step 5: Solve for x
    x = 35,828,943.81/6,801.42
  6. Step 6: Final answer
    x = 5,267.86

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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.