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Finding the Fourth Proportional to 9,982.68, 14,968.74 and 3,055.32

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Solution

The fourth proportional to 9,982.68, 14,968.74 and 3,055.32 is: 4,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.68 : 14,968.74 = 3,055.32 : x
  2. Step 2: Convert to fraction form
    9,982.68/14,968.74 = 3,055.32/x
  3. Step 3: Cross multiply
    9,982.68x = 14,968.74 × 3,055.32
  4. Step 4: Simplify right side
    9,982.68x = 45,734,290.70
  5. Step 5: Solve for x
    x = 45,734,290.70/9,982.68
  6. Step 6: Final answer
    x = 4,581.36

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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.