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Finding the Fourth Proportional to 7,012.02, 9,676.50 and 4,027.77

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Solution

The fourth proportional to 7,012.02, 9,676.50 and 4,027.77 is: 5,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.02 : 9,676.50 = 4,027.77 : x
  2. Step 2: Convert to fraction form
    7,012.02/9,676.50 = 4,027.77/x
  3. Step 3: Cross multiply
    7,012.02x = 9,676.50 × 4,027.77
  4. Step 4: Simplify right side
    7,012.02x = 38,974,716.41
  5. Step 5: Solve for x
    x = 38,974,716.41/7,012.02
  6. Step 6: Final answer
    x = 5,558.27

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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.