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Finding the Fourth Proportional to 9,236.47, 12,738.45 and 7,807.75

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Solution

The fourth proportional to 9,236.47, 12,738.45 and 7,807.75 is: 10,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.47 : 12,738.45 = 7,807.75 : x
  2. Step 2: Convert to fraction form
    9,236.47/12,738.45 = 7,807.75/x
  3. Step 3: Cross multiply
    9,236.47x = 12,738.45 × 7,807.75
  4. Step 4: Simplify right side
    9,236.47x = 99,458,632.99
  5. Step 5: Solve for x
    x = 99,458,632.99/9,236.47
  6. Step 6: Final answer
    x = 10,768.04

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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.