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Finding the Fourth Proportional to 6,938.46, 9,641.45 and 6,867.42

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Solution

The fourth proportional to 6,938.46, 9,641.45 and 6,867.42 is: 9,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.46 : 9,641.45 = 6,867.42 : x
  2. Step 2: Convert to fraction form
    6,938.46/9,641.45 = 6,867.42/x
  3. Step 3: Cross multiply
    6,938.46x = 9,641.45 × 6,867.42
  4. Step 4: Simplify right side
    6,938.46x = 66,211,852.22
  5. Step 5: Solve for x
    x = 66,211,852.22/6,938.46
  6. Step 6: Final answer
    x = 9,542.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.