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Finding the Fourth Proportional to 9,282.56, 13,907.61 and 7,732.53

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Solution

The fourth proportional to 9,282.56, 13,907.61 and 7,732.53 is: 11,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.56 : 13,907.61 = 7,732.53 : x
  2. Step 2: Convert to fraction form
    9,282.56/13,907.61 = 7,732.53/x
  3. Step 3: Cross multiply
    9,282.56x = 13,907.61 × 7,732.53
  4. Step 4: Simplify right side
    9,282.56x = 107,541,011.55
  5. Step 5: Solve for x
    x = 107,541,011.55/9,282.56
  6. Step 6: Final answer
    x = 11,585.28

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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.