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Finding the Fourth Proportional to 7,077.27, 9,765.05 and 4,093.03

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Solution

The fourth proportional to 7,077.27, 9,765.05 and 4,093.03 is: 5,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.27 : 9,765.05 = 4,093.03 : x
  2. Step 2: Convert to fraction form
    7,077.27/9,765.05 = 4,093.03/x
  3. Step 3: Cross multiply
    7,077.27x = 9,765.05 × 4,093.03
  4. Step 4: Simplify right side
    7,077.27x = 39,968,642.60
  5. Step 5: Solve for x
    x = 39,968,642.60/7,077.27
  6. Step 6: Final answer
    x = 5,647.47

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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.