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Finding the Fourth Proportional to 9,129, 13,694.58 and 2,973

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Solution

The fourth proportional to 9,129, 13,694.58 and 2,973 is: 4,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129 : 13,694.58 = 2,973 : x
  2. Step 2: Convert to fraction form
    9,129/13,694.58 = 2,973/x
  3. Step 3: Cross multiply
    9,129x = 13,694.58 × 2,973
  4. Step 4: Simplify right side
    9,129x = 40,713,986.34
  5. Step 5: Solve for x
    x = 40,713,986.34/9,129
  6. Step 6: Final answer
    x = 4,459.85

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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.