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Finding the Fourth Proportional to 6,442.92, 9,668.70 and 2,980.44

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Solution

The fourth proportional to 6,442.92, 9,668.70 and 2,980.44 is: 4,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.92 : 9,668.70 = 2,980.44 : x
  2. Step 2: Convert to fraction form
    6,442.92/9,668.70 = 2,980.44/x
  3. Step 3: Cross multiply
    6,442.92x = 9,668.70 × 2,980.44
  4. Step 4: Simplify right side
    6,442.92x = 28,816,980.23
  5. Step 5: Solve for x
    x = 28,816,980.23/6,442.92
  6. Step 6: Final answer
    x = 4,472.66

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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.