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Finding the Fourth Proportional to 9,764.39, 14,647.27 and 3,921

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Solution

The fourth proportional to 9,764.39, 14,647.27 and 3,921 is: 5,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.39 : 14,647.27 = 3,921 : x
  2. Step 2: Convert to fraction form
    9,764.39/14,647.27 = 3,921/x
  3. Step 3: Cross multiply
    9,764.39x = 14,647.27 × 3,921
  4. Step 4: Simplify right side
    9,764.39x = 57,431,943.22
  5. Step 5: Solve for x
    x = 57,431,943.22/9,764.39
  6. Step 6: Final answer
    x = 5,881.77

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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.