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Finding the Fourth Proportional to 9,481.12, 13,080.56 and 5,652

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Solution

The fourth proportional to 9,481.12, 13,080.56 and 5,652 is: 7,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.12 : 13,080.56 = 5,652 : x
  2. Step 2: Convert to fraction form
    9,481.12/13,080.56 = 5,652/x
  3. Step 3: Cross multiply
    9,481.12x = 13,080.56 × 5,652
  4. Step 4: Simplify right side
    9,481.12x = 73,931,325.12
  5. Step 5: Solve for x
    x = 73,931,325.12/9,481.12
  6. Step 6: Final answer
    x = 7,797.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.