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Finding the Fourth Proportional to 6,626.85, 9,144.93 and 3,642.67

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Solution

The fourth proportional to 6,626.85, 9,144.93 and 3,642.67 is: 5,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.85 : 9,144.93 = 3,642.67 : x
  2. Step 2: Convert to fraction form
    6,626.85/9,144.93 = 3,642.67/x
  3. Step 3: Cross multiply
    6,626.85x = 9,144.93 × 3,642.67
  4. Step 4: Simplify right side
    6,626.85x = 33,311,962.16
  5. Step 5: Solve for x
    x = 33,311,962.16/6,626.85
  6. Step 6: Final answer
    x = 5,026.82

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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.