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Finding the Fourth Proportional to 9,527.42, 14,278.83 and 8,219.32

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Solution

The fourth proportional to 9,527.42, 14,278.83 and 8,219.32 is: 12,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.42 : 14,278.83 = 8,219.32 : x
  2. Step 2: Convert to fraction form
    9,527.42/14,278.83 = 8,219.32/x
  3. Step 3: Cross multiply
    9,527.42x = 14,278.83 × 8,219.32
  4. Step 4: Simplify right side
    9,527.42x = 117,362,333.03
  5. Step 5: Solve for x
    x = 117,362,333.03/9,527.42
  6. Step 6: Final answer
    x = 12,318.37

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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.