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Finding the Fourth Proportional to 9,754.95, 14,640.05 and 3,915.39

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Solution

The fourth proportional to 9,754.95, 14,640.05 and 3,915.39 is: 5,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.95 : 14,640.05 = 3,915.39 : x
  2. Step 2: Convert to fraction form
    9,754.95/14,640.05 = 3,915.39/x
  3. Step 3: Cross multiply
    9,754.95x = 14,640.05 × 3,915.39
  4. Step 4: Simplify right side
    9,754.95x = 57,321,485.79
  5. Step 5: Solve for x
    x = 57,321,485.79/9,754.95
  6. Step 6: Final answer
    x = 5,876.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.