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Finding the Fourth Proportional to 9,112.80, 13,665.60 and 3,266.40

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Solution

The fourth proportional to 9,112.80, 13,665.60 and 3,266.40 is: 4,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.80 : 13,665.60 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    9,112.80/13,665.60 = 3,266.40/x
  3. Step 3: Cross multiply
    9,112.80x = 13,665.60 × 3,266.40
  4. Step 4: Simplify right side
    9,112.80x = 44,637,315.84
  5. Step 5: Solve for x
    x = 44,637,315.84/9,112.80
  6. Step 6: Final answer
    x = 4,898.31

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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.