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Finding the Fourth Proportional to 9,527.72, 14,292.48 and 3,286.88

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Solution

The fourth proportional to 9,527.72, 14,292.48 and 3,286.88 is: 4,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.72 : 14,292.48 = 3,286.88 : x
  2. Step 2: Convert to fraction form
    9,527.72/14,292.48 = 3,286.88/x
  3. Step 3: Cross multiply
    9,527.72x = 14,292.48 × 3,286.88
  4. Step 4: Simplify right side
    9,527.72x = 46,977,666.66
  5. Step 5: Solve for x
    x = 46,977,666.66/9,527.72
  6. Step 6: Final answer
    x = 4,930.63

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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.