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Finding the Fourth Proportional to 9,212.56, 13,809.31 and 4,278.17

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Solution

The fourth proportional to 9,212.56, 13,809.31 and 4,278.17 is: 6,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.56 : 13,809.31 = 4,278.17 : x
  2. Step 2: Convert to fraction form
    9,212.56/13,809.31 = 4,278.17/x
  3. Step 3: Cross multiply
    9,212.56x = 13,809.31 × 4,278.17
  4. Step 4: Simplify right side
    9,212.56x = 59,078,575.76
  5. Step 5: Solve for x
    x = 59,078,575.76/9,212.56
  6. Step 6: Final answer
    x = 6,412.83

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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.