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Finding the Fourth Proportional to 6,446.26, 9,670.92 and 4,592.80

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Solution

The fourth proportional to 6,446.26, 9,670.92 and 4,592.80 is: 6,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.26 : 9,670.92 = 4,592.80 : x
  2. Step 2: Convert to fraction form
    6,446.26/9,670.92 = 4,592.80/x
  3. Step 3: Cross multiply
    6,446.26x = 9,670.92 × 4,592.80
  4. Step 4: Simplify right side
    6,446.26x = 44,416,601.38
  5. Step 5: Solve for x
    x = 44,416,601.38/6,446.26
  6. Step 6: Final answer
    x = 6,890.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.