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Finding the Fourth Proportional to 7,065.82, 9,745.44 and 5,176.72

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Solution

The fourth proportional to 7,065.82, 9,745.44 and 5,176.72 is: 7,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.82 : 9,745.44 = 5,176.72 : x
  2. Step 2: Convert to fraction form
    7,065.82/9,745.44 = 5,176.72/x
  3. Step 3: Cross multiply
    7,065.82x = 9,745.44 × 5,176.72
  4. Step 4: Simplify right side
    7,065.82x = 50,449,365.43
  5. Step 5: Solve for x
    x = 50,449,365.43/7,065.82
  6. Step 6: Final answer
    x = 7,139.92

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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.