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Finding the Fourth Proportional to 9,511, 14,256.22 and 3,962.85

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Solution

The fourth proportional to 9,511, 14,256.22 and 3,962.85 is: 5,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 14,256.22 = 3,962.85 : x
  2. Step 2: Convert to fraction form
    9,511/14,256.22 = 3,962.85/x
  3. Step 3: Cross multiply
    9,511x = 14,256.22 × 3,962.85
  4. Step 4: Simplify right side
    9,511x = 56,495,261.43
  5. Step 5: Solve for x
    x = 56,495,261.43/9,511
  6. Step 6: Final answer
    x = 5,939.99

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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.