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Finding the Fourth Proportional to 7,017.42, 9,683.85 and 3,873.54

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Solution

The fourth proportional to 7,017.42, 9,683.85 and 3,873.54 is: 5,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.42 : 9,683.85 = 3,873.54 : x
  2. Step 2: Convert to fraction form
    7,017.42/9,683.85 = 3,873.54/x
  3. Step 3: Cross multiply
    7,017.42x = 9,683.85 × 3,873.54
  4. Step 4: Simplify right side
    7,017.42x = 37,510,780.33
  5. Step 5: Solve for x
    x = 37,510,780.33/7,017.42
  6. Step 6: Final answer
    x = 5,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.