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Finding the Fourth Proportional to 9,034.68, 13,527.36 and 6,836.76

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Solution

The fourth proportional to 9,034.68, 13,527.36 and 6,836.76 is: 10,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.68 : 13,527.36 = 6,836.76 : x
  2. Step 2: Convert to fraction form
    9,034.68/13,527.36 = 6,836.76/x
  3. Step 3: Cross multiply
    9,034.68x = 13,527.36 × 6,836.76
  4. Step 4: Simplify right side
    9,034.68x = 92,483,313.75
  5. Step 5: Solve for x
    x = 92,483,313.75/9,034.68
  6. Step 6: Final answer
    x = 10,236.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.