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Finding the Fourth Proportional to 7,061.62, 9,745.49 and 4,077.65

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Solution

The fourth proportional to 7,061.62, 9,745.49 and 4,077.65 is: 5,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.62 : 9,745.49 = 4,077.65 : x
  2. Step 2: Convert to fraction form
    7,061.62/9,745.49 = 4,077.65/x
  3. Step 3: Cross multiply
    7,061.62x = 9,745.49 × 4,077.65
  4. Step 4: Simplify right side
    7,061.62x = 39,738,697.30
  5. Step 5: Solve for x
    x = 39,738,697.30/7,061.62
  6. Step 6: Final answer
    x = 5,627.42

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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.