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Finding the Fourth Proportional to 6,743.06, 9,302.73 and 4,384.34

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Solution

The fourth proportional to 6,743.06, 9,302.73 and 4,384.34 is: 6,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.06 : 9,302.73 = 4,384.34 : x
  2. Step 2: Convert to fraction form
    6,743.06/9,302.73 = 4,384.34/x
  3. Step 3: Cross multiply
    6,743.06x = 9,302.73 × 4,384.34
  4. Step 4: Simplify right side
    6,743.06x = 40,786,331.25
  5. Step 5: Solve for x
    x = 40,786,331.25/6,743.06
  6. Step 6: Final answer
    x = 6,048.64

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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.