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Finding the Fourth Proportional to 9,781.80, 14,673.32 and 2,762.36

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Solution

The fourth proportional to 9,781.80, 14,673.32 and 2,762.36 is: 4,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.80 : 14,673.32 = 2,762.36 : x
  2. Step 2: Convert to fraction form
    9,781.80/14,673.32 = 2,762.36/x
  3. Step 3: Cross multiply
    9,781.80x = 14,673.32 × 2,762.36
  4. Step 4: Simplify right side
    9,781.80x = 40,532,927.05
  5. Step 5: Solve for x
    x = 40,532,927.05/9,781.80
  6. Step 6: Final answer
    x = 4,143.71

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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.