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Finding the Fourth Proportional to 9,250.24, 12,768 and 5,273.52

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Solution

The fourth proportional to 9,250.24, 12,768 and 5,273.52 is: 7,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.24 : 12,768 = 5,273.52 : x
  2. Step 2: Convert to fraction form
    9,250.24/12,768 = 5,273.52/x
  3. Step 3: Cross multiply
    9,250.24x = 12,768 × 5,273.52
  4. Step 4: Simplify right side
    9,250.24x = 67,332,303.36
  5. Step 5: Solve for x
    x = 67,332,303.36/9,250.24
  6. Step 6: Final answer
    x = 7,278.98

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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.