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Finding the Fourth Proportional to 7,004.34, 9,665.82 and 5,243.76

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Solution

The fourth proportional to 7,004.34, 9,665.82 and 5,243.76 is: 7,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.34 : 9,665.82 = 5,243.76 : x
  2. Step 2: Convert to fraction form
    7,004.34/9,665.82 = 5,243.76/x
  3. Step 3: Cross multiply
    7,004.34x = 9,665.82 × 5,243.76
  4. Step 4: Simplify right side
    7,004.34x = 50,685,240.28
  5. Step 5: Solve for x
    x = 50,685,240.28/7,004.34
  6. Step 6: Final answer
    x = 7,236.26

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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.