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Finding the Fourth Proportional to 9,629, 14,443.56 and 3,473

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Solution

The fourth proportional to 9,629, 14,443.56 and 3,473 is: 5,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629 : 14,443.56 = 3,473 : x
  2. Step 2: Convert to fraction form
    9,629/14,443.56 = 3,473/x
  3. Step 3: Cross multiply
    9,629x = 14,443.56 × 3,473
  4. Step 4: Simplify right side
    9,629x = 50,162,483.88
  5. Step 5: Solve for x
    x = 50,162,483.88/9,629
  6. Step 6: Final answer
    x = 5,209.52

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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.