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Finding the Fourth Proportional to 9,763.72, 14,646.27 and 3,920.33

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Solution

The fourth proportional to 9,763.72, 14,646.27 and 3,920.33 is: 5,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.72 : 14,646.27 = 3,920.33 : x
  2. Step 2: Convert to fraction form
    9,763.72/14,646.27 = 3,920.33/x
  3. Step 3: Cross multiply
    9,763.72x = 14,646.27 × 3,920.33
  4. Step 4: Simplify right side
    9,763.72x = 57,418,233.58
  5. Step 5: Solve for x
    x = 57,418,233.58/9,763.72
  6. Step 6: Final answer
    x = 5,880.77

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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.