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Finding the Fourth Proportional to 9,266.30, 13,866.62 and 8,172.80

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Solution

The fourth proportional to 9,266.30, 13,866.62 and 8,172.80 is: 12,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.30 : 13,866.62 = 8,172.80 : x
  2. Step 2: Convert to fraction form
    9,266.30/13,866.62 = 8,172.80/x
  3. Step 3: Cross multiply
    9,266.30x = 13,866.62 × 8,172.80
  4. Step 4: Simplify right side
    9,266.30x = 113,329,111.94
  5. Step 5: Solve for x
    x = 113,329,111.94/9,266.30
  6. Step 6: Final answer
    x = 12,230.24

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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.