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Finding the Fourth Proportional to 9,774.80, 14,662.20 and 8,133.20

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Solution

The fourth proportional to 9,774.80, 14,662.20 and 8,133.20 is: 12,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.80 : 14,662.20 = 8,133.20 : x
  2. Step 2: Convert to fraction form
    9,774.80/14,662.20 = 8,133.20/x
  3. Step 3: Cross multiply
    9,774.80x = 14,662.20 × 8,133.20
  4. Step 4: Simplify right side
    9,774.80x = 119,250,605.04
  5. Step 5: Solve for x
    x = 119,250,605.04/9,774.80
  6. Step 6: Final answer
    x = 12,199.80

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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.