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Finding the Fourth Proportional to 6,801.57, 9,386.46 and 4,282.72

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Solution

The fourth proportional to 6,801.57, 9,386.46 and 4,282.72 is: 5,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.57 : 9,386.46 = 4,282.72 : x
  2. Step 2: Convert to fraction form
    6,801.57/9,386.46 = 4,282.72/x
  3. Step 3: Cross multiply
    6,801.57x = 9,386.46 × 4,282.72
  4. Step 4: Simplify right side
    6,801.57x = 40,199,556.51
  5. Step 5: Solve for x
    x = 40,199,556.51/6,801.57
  6. Step 6: Final answer
    x = 5,910.33

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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.