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Finding the Fourth Proportional to 7,013.37, 9,676.12 and 4,027.05

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Solution

The fourth proportional to 7,013.37, 9,676.12 and 4,027.05 is: 5,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.37 : 9,676.12 = 4,027.05 : x
  2. Step 2: Convert to fraction form
    7,013.37/9,676.12 = 4,027.05/x
  3. Step 3: Cross multiply
    7,013.37x = 9,676.12 × 4,027.05
  4. Step 4: Simplify right side
    7,013.37x = 38,966,219.05
  5. Step 5: Solve for x
    x = 38,966,219.05/7,013.37
  6. Step 6: Final answer
    x = 5,555.99

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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.