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Finding the Fourth Proportional to 7,069.42, 9,755.36 and 4,084.77

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Solution

The fourth proportional to 7,069.42, 9,755.36 and 4,084.77 is: 5,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.42 : 9,755.36 = 4,084.77 : x
  2. Step 2: Convert to fraction form
    7,069.42/9,755.36 = 4,084.77/x
  3. Step 3: Cross multiply
    7,069.42x = 9,755.36 × 4,084.77
  4. Step 4: Simplify right side
    7,069.42x = 39,848,381.44
  5. Step 5: Solve for x
    x = 39,848,381.44/7,069.42
  6. Step 6: Final answer
    x = 5,636.73

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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.