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Finding the Fourth Proportional to 9,034.92, 12,467.05 and 5,259.30

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Solution

The fourth proportional to 9,034.92, 12,467.05 and 5,259.30 is: 7,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.92 : 12,467.05 = 5,259.30 : x
  2. Step 2: Convert to fraction form
    9,034.92/12,467.05 = 5,259.30/x
  3. Step 3: Cross multiply
    9,034.92x = 12,467.05 × 5,259.30
  4. Step 4: Simplify right side
    9,034.92x = 65,567,956.07
  5. Step 5: Solve for x
    x = 65,567,956.07/9,034.92
  6. Step 6: Final answer
    x = 7,257.17

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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.