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Finding the Fourth Proportional to 6,647.42, 9,171.54 and 4,290.94

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Solution

The fourth proportional to 6,647.42, 9,171.54 and 4,290.94 is: 5,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.42 : 9,171.54 = 4,290.94 : x
  2. Step 2: Convert to fraction form
    6,647.42/9,171.54 = 4,290.94/x
  3. Step 3: Cross multiply
    6,647.42x = 9,171.54 × 4,290.94
  4. Step 4: Simplify right side
    6,647.42x = 39,354,527.85
  5. Step 5: Solve for x
    x = 39,354,527.85/6,647.42
  6. Step 6: Final answer
    x = 5,920.27

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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.