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Finding the Fourth Proportional to 9,012.42, 12,436.34 and 5,033.43

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Solution

The fourth proportional to 9,012.42, 12,436.34 and 5,033.43 is: 6,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.42 : 12,436.34 = 5,033.43 : x
  2. Step 2: Convert to fraction form
    9,012.42/12,436.34 = 5,033.43/x
  3. Step 3: Cross multiply
    9,012.42x = 12,436.34 × 5,033.43
  4. Step 4: Simplify right side
    9,012.42x = 62,597,421.68
  5. Step 5: Solve for x
    x = 62,597,421.68/9,012.42
  6. Step 6: Final answer
    x = 6,945.68

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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.