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Finding the Fourth Proportional to 9,522.04, 14,266.81 and 6,744.10

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Solution

The fourth proportional to 9,522.04, 14,266.81 and 6,744.10 is: 10,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.04 : 14,266.81 = 6,744.10 : x
  2. Step 2: Convert to fraction form
    9,522.04/14,266.81 = 6,744.10/x
  3. Step 3: Cross multiply
    9,522.04x = 14,266.81 × 6,744.10
  4. Step 4: Simplify right side
    9,522.04x = 96,216,793.32
  5. Step 5: Solve for x
    x = 96,216,793.32/9,522.04
  6. Step 6: Final answer
    x = 10,104.64

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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.