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Finding the Fourth Proportional to 9,759.64, 14,640.06 and 3,915.49

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Solution

The fourth proportional to 9,759.64, 14,640.06 and 3,915.49 is: 5,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.64 : 14,640.06 = 3,915.49 : x
  2. Step 2: Convert to fraction form
    9,759.64/14,640.06 = 3,915.49/x
  3. Step 3: Cross multiply
    9,759.64x = 14,640.06 × 3,915.49
  4. Step 4: Simplify right side
    9,759.64x = 57,323,008.53
  5. Step 5: Solve for x
    x = 57,323,008.53/9,759.64
  6. Step 6: Final answer
    x = 5,873.48

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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.