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Finding the Fourth Proportional to 9,235.42, 12,744.70 and 5,202.24

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Solution

The fourth proportional to 9,235.42, 12,744.70 and 5,202.24 is: 7,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.42 : 12,744.70 = 5,202.24 : x
  2. Step 2: Convert to fraction form
    9,235.42/12,744.70 = 5,202.24/x
  3. Step 3: Cross multiply
    9,235.42x = 12,744.70 × 5,202.24
  4. Step 4: Simplify right side
    9,235.42x = 66,300,988.13
  5. Step 5: Solve for x
    x = 66,300,988.13/9,235.42
  6. Step 6: Final answer
    x = 7,178.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.