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Finding the Fourth Proportional to 9,272.90, 12,796.44 and 5,735.18

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Solution

The fourth proportional to 9,272.90, 12,796.44 and 5,735.18 is: 7,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.90 : 12,796.44 = 5,735.18 : x
  2. Step 2: Convert to fraction form
    9,272.90/12,796.44 = 5,735.18/x
  3. Step 3: Cross multiply
    9,272.90x = 12,796.44 × 5,735.18
  4. Step 4: Simplify right side
    9,272.90x = 73,389,886.76
  5. Step 5: Solve for x
    x = 73,389,886.76/9,272.90
  6. Step 6: Final answer
    x = 7,914.45

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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.