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Finding the Fourth Proportional to 9,236.57, 12,743.28 and 5,202.77

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Solution

The fourth proportional to 9,236.57, 12,743.28 and 5,202.77 is: 7,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.57 : 12,743.28 = 5,202.77 : x
  2. Step 2: Convert to fraction form
    9,236.57/12,743.28 = 5,202.77/x
  3. Step 3: Cross multiply
    9,236.57x = 12,743.28 × 5,202.77
  4. Step 4: Simplify right side
    9,236.57x = 66,300,291.17
  5. Step 5: Solve for x
    x = 66,300,291.17/9,236.57
  6. Step 6: Final answer
    x = 7,178.02

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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.