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Finding the Fourth Proportional to 9,913.40, 14,872.44 and 3,677.84

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Solution

The fourth proportional to 9,913.40, 14,872.44 and 3,677.84 is: 5,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.40 : 14,872.44 = 3,677.84 : x
  2. Step 2: Convert to fraction form
    9,913.40/14,872.44 = 3,677.84/x
  3. Step 3: Cross multiply
    9,913.40x = 14,872.44 × 3,677.84
  4. Step 4: Simplify right side
    9,913.40x = 54,698,454.73
  5. Step 5: Solve for x
    x = 54,698,454.73/9,913.40
  6. Step 6: Final answer
    x = 5,517.63

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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.