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Finding the Fourth Proportional to 9,676.28, 14,495.90 and 6,550.90

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Solution

The fourth proportional to 9,676.28, 14,495.90 and 6,550.90 is: 9,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.28 : 14,495.90 = 6,550.90 : x
  2. Step 2: Convert to fraction form
    9,676.28/14,495.90 = 6,550.90/x
  3. Step 3: Cross multiply
    9,676.28x = 14,495.90 × 6,550.90
  4. Step 4: Simplify right side
    9,676.28x = 94,961,122.32
  5. Step 5: Solve for x
    x = 94,961,122.32/9,676.28
  6. Step 6: Final answer
    x = 9,813.80

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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.