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Finding the Fourth Proportional to 9,671.28, 14,506.84 and 2,745.80

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Solution

The fourth proportional to 9,671.28, 14,506.84 and 2,745.80 is: 4,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.28 : 14,506.84 = 2,745.80 : x
  2. Step 2: Convert to fraction form
    9,671.28/14,506.84 = 2,745.80/x
  3. Step 3: Cross multiply
    9,671.28x = 14,506.84 × 2,745.80
  4. Step 4: Simplify right side
    9,671.28x = 39,832,881.27
  5. Step 5: Solve for x
    x = 39,832,881.27/9,671.28
  6. Step 6: Final answer
    x = 4,118.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.