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Finding the Fourth Proportional to 9,754.34, 14,631.39 and 3,915.05

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Solution

The fourth proportional to 9,754.34, 14,631.39 and 3,915.05 is: 5,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.34 : 14,631.39 = 3,915.05 : x
  2. Step 2: Convert to fraction form
    9,754.34/14,631.39 = 3,915.05/x
  3. Step 3: Cross multiply
    9,754.34x = 14,631.39 × 3,915.05
  4. Step 4: Simplify right side
    9,754.34x = 57,282,623.42
  5. Step 5: Solve for x
    x = 57,282,623.42/9,754.34
  6. Step 6: Final answer
    x = 5,872.53

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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.