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Finding the Fourth Proportional to 9,646.97, 14,472.74 and 3,073.14

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Solution

The fourth proportional to 9,646.97, 14,472.74 and 3,073.14 is: 4,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.97 : 14,472.74 = 3,073.14 : x
  2. Step 2: Convert to fraction form
    9,646.97/14,472.74 = 3,073.14/x
  3. Step 3: Cross multiply
    9,646.97x = 14,472.74 × 3,073.14
  4. Step 4: Simplify right side
    9,646.97x = 44,476,763.89
  5. Step 5: Solve for x
    x = 44,476,763.89/9,646.97
  6. Step 6: Final answer
    x = 4,610.44

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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.