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Finding the Fourth Proportional to 9,528.70, 14,288.53 and 3,522.82

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Solution

The fourth proportional to 9,528.70, 14,288.53 and 3,522.82 is: 5,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.70 : 14,288.53 = 3,522.82 : x
  2. Step 2: Convert to fraction form
    9,528.70/14,288.53 = 3,522.82/x
  3. Step 3: Cross multiply
    9,528.70x = 14,288.53 × 3,522.82
  4. Step 4: Simplify right side
    9,528.70x = 50,335,943.96
  5. Step 5: Solve for x
    x = 50,335,943.96/9,528.70
  6. Step 6: Final answer
    x = 5,282.56

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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.