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Finding the Fourth Proportional to 9,234.07, 12,742.69 and 5,697.19

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Solution

The fourth proportional to 9,234.07, 12,742.69 and 5,697.19 is: 7,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.07 : 12,742.69 = 5,697.19 : x
  2. Step 2: Convert to fraction form
    9,234.07/12,742.69 = 5,697.19/x
  3. Step 3: Cross multiply
    9,234.07x = 12,742.69 × 5,697.19
  4. Step 4: Simplify right side
    9,234.07x = 72,597,526.04
  5. Step 5: Solve for x
    x = 72,597,526.04/9,234.07
  6. Step 6: Final answer
    x = 7,861.92

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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.