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Finding the Fourth Proportional to 9,782.43, 14,660.37 and 4,505.84

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Solution

The fourth proportional to 9,782.43, 14,660.37 and 4,505.84 is: 6,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.43 : 14,660.37 = 4,505.84 : x
  2. Step 2: Convert to fraction form
    9,782.43/14,660.37 = 4,505.84/x
  3. Step 3: Cross multiply
    9,782.43x = 14,660.37 × 4,505.84
  4. Step 4: Simplify right side
    9,782.43x = 66,057,208.26
  5. Step 5: Solve for x
    x = 66,057,208.26/9,782.43
  6. Step 6: Final answer
    x = 6,752.64

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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.