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Finding the Fourth Proportional to 9,212.56, 13,809.32 and 4,278.18

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Solution

The fourth proportional to 9,212.56, 13,809.32 and 4,278.18 is: 6,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.56 : 13,809.32 = 4,278.18 : x
  2. Step 2: Convert to fraction form
    9,212.56/13,809.32 = 4,278.18/x
  3. Step 3: Cross multiply
    9,212.56x = 13,809.32 × 4,278.18
  4. Step 4: Simplify right side
    9,212.56x = 59,078,756.64
  5. Step 5: Solve for x
    x = 59,078,756.64/9,212.56
  6. Step 6: Final answer
    x = 6,412.85

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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.