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Finding the Fourth Proportional to 9,511.80, 14,266.16 and 5,991

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Solution

The fourth proportional to 9,511.80, 14,266.16 and 5,991 is: 8,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.80 : 14,266.16 = 5,991 : x
  2. Step 2: Convert to fraction form
    9,511.80/14,266.16 = 5,991/x
  3. Step 3: Cross multiply
    9,511.80x = 14,266.16 × 5,991
  4. Step 4: Simplify right side
    9,511.80x = 85,468,564.56
  5. Step 5: Solve for x
    x = 85,468,564.56/9,511.80
  6. Step 6: Final answer
    x = 8,985.53

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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.