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Finding the Fourth Proportional to 9,781.44, 14,661.36 and 4,233.84

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Solution

The fourth proportional to 9,781.44, 14,661.36 and 4,233.84 is: 6,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.44 : 14,661.36 = 4,233.84 : x
  2. Step 2: Convert to fraction form
    9,781.44/14,661.36 = 4,233.84/x
  3. Step 3: Cross multiply
    9,781.44x = 14,661.36 × 4,233.84
  4. Step 4: Simplify right side
    9,781.44x = 62,073,852.42
  5. Step 5: Solve for x
    x = 62,073,852.42/9,781.44
  6. Step 6: Final answer
    x = 6,346.09

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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.