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Finding the Fourth Proportional to 7,013.96, 9,676.23 and 4,029.11

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Solution

The fourth proportional to 7,013.96, 9,676.23 and 4,029.11 is: 5,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.96 : 9,676.23 = 4,029.11 : x
  2. Step 2: Convert to fraction form
    7,013.96/9,676.23 = 4,029.11/x
  3. Step 3: Cross multiply
    7,013.96x = 9,676.23 × 4,029.11
  4. Step 4: Simplify right side
    7,013.96x = 38,986,595.06
  5. Step 5: Solve for x
    x = 38,986,595.06/7,013.96
  6. Step 6: Final answer
    x = 5,558.43

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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.