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Finding the Fourth Proportional to 9,673.44, 14,512.80 and 2,748

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Solution

The fourth proportional to 9,673.44, 14,512.80 and 2,748 is: 4,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.44 : 14,512.80 = 2,748 : x
  2. Step 2: Convert to fraction form
    9,673.44/14,512.80 = 2,748/x
  3. Step 3: Cross multiply
    9,673.44x = 14,512.80 × 2,748
  4. Step 4: Simplify right side
    9,673.44x = 39,881,174.40
  5. Step 5: Solve for x
    x = 39,881,174.40/9,673.44
  6. Step 6: Final answer
    x = 4,122.75

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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.