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Finding the Fourth Proportional to 9,695.97, 14,544.26 and 2,676.51

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Solution

The fourth proportional to 9,695.97, 14,544.26 and 2,676.51 is: 4,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.97 : 14,544.26 = 2,676.51 : x
  2. Step 2: Convert to fraction form
    9,695.97/14,544.26 = 2,676.51/x
  3. Step 3: Cross multiply
    9,695.97x = 14,544.26 × 2,676.51
  4. Step 4: Simplify right side
    9,695.97x = 38,927,791.30
  5. Step 5: Solve for x
    x = 38,927,791.30/9,695.97
  6. Step 6: Final answer
    x = 4,014.84

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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.