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Finding the Fourth Proportional to 9,744.96, 14,619.60 and 4,548

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Solution

The fourth proportional to 9,744.96, 14,619.60 and 4,548 is: 6,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.96 : 14,619.60 = 4,548 : x
  2. Step 2: Convert to fraction form
    9,744.96/14,619.60 = 4,548/x
  3. Step 3: Cross multiply
    9,744.96x = 14,619.60 × 4,548
  4. Step 4: Simplify right side
    9,744.96x = 66,489,940.80
  5. Step 5: Solve for x
    x = 66,489,940.80/9,744.96
  6. Step 6: Final answer
    x = 6,823.01

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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.