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Finding the Fourth Proportional to 6,905.75, 9,531.17 and 4,072.95

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Solution

The fourth proportional to 6,905.75, 9,531.17 and 4,072.95 is: 5,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.75 : 9,531.17 = 4,072.95 : x
  2. Step 2: Convert to fraction form
    6,905.75/9,531.17 = 4,072.95/x
  3. Step 3: Cross multiply
    6,905.75x = 9,531.17 × 4,072.95
  4. Step 4: Simplify right side
    6,905.75x = 38,819,978.85
  5. Step 5: Solve for x
    x = 38,819,978.85/6,905.75
  6. Step 6: Final answer
    x = 5,621.40

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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.