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Finding the Fourth Proportional to 9,234.36, 12,748.59 and 6,096.06

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Solution

The fourth proportional to 9,234.36, 12,748.59 and 6,096.06 is: 8,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.36 : 12,748.59 = 6,096.06 : x
  2. Step 2: Convert to fraction form
    9,234.36/12,748.59 = 6,096.06/x
  3. Step 3: Cross multiply
    9,234.36x = 12,748.59 × 6,096.06
  4. Step 4: Simplify right side
    9,234.36x = 77,716,169.56
  5. Step 5: Solve for x
    x = 77,716,169.56/9,234.36
  6. Step 6: Final answer
    x = 8,415.98

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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.