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Finding the Fourth Proportional to 9,722.37, 14,581.40 and 3,877.41

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Solution

The fourth proportional to 9,722.37, 14,581.40 and 3,877.41 is: 5,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.37 : 14,581.40 = 3,877.41 : x
  2. Step 2: Convert to fraction form
    9,722.37/14,581.40 = 3,877.41/x
  3. Step 3: Cross multiply
    9,722.37x = 14,581.40 × 3,877.41
  4. Step 4: Simplify right side
    9,722.37x = 56,538,046.79
  5. Step 5: Solve for x
    x = 56,538,046.79/9,722.37
  6. Step 6: Final answer
    x = 5,815.25

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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.