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Finding the Fourth Proportional to 9,720.84, 14,581.50 and 3,481.28

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Solution

The fourth proportional to 9,720.84, 14,581.50 and 3,481.28 is: 5,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.84 : 14,581.50 = 3,481.28 : x
  2. Step 2: Convert to fraction form
    9,720.84/14,581.50 = 3,481.28/x
  3. Step 3: Cross multiply
    9,720.84x = 14,581.50 × 3,481.28
  4. Step 4: Simplify right side
    9,720.84x = 50,762,284.32
  5. Step 5: Solve for x
    x = 50,762,284.32/9,720.84
  6. Step 6: Final answer
    x = 5,222.01

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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.