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Finding the Fourth Proportional to 9,604.42, 13,254.06 and 5,355.43

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Solution

The fourth proportional to 9,604.42, 13,254.06 and 5,355.43 is: 7,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.42 : 13,254.06 = 5,355.43 : x
  2. Step 2: Convert to fraction form
    9,604.42/13,254.06 = 5,355.43/x
  3. Step 3: Cross multiply
    9,604.42x = 13,254.06 × 5,355.43
  4. Step 4: Simplify right side
    9,604.42x = 70,981,190.55
  5. Step 5: Solve for x
    x = 70,981,190.55/9,604.42
  6. Step 6: Final answer
    x = 7,390.47

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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.