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Finding the Fourth Proportional to 9,674.94, 13,351.28 and 5,425.98

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Solution

The fourth proportional to 9,674.94, 13,351.28 and 5,425.98 is: 7,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.94 : 13,351.28 = 5,425.98 : x
  2. Step 2: Convert to fraction form
    9,674.94/13,351.28 = 5,425.98/x
  3. Step 3: Cross multiply
    9,674.94x = 13,351.28 × 5,425.98
  4. Step 4: Simplify right side
    9,674.94x = 72,443,778.25
  5. Step 5: Solve for x
    x = 72,443,778.25/9,674.94
  6. Step 6: Final answer
    x = 7,487.78

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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.