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Finding the Fourth Proportional to 9,984.56, 14,953.08 and 9,634.64

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Solution

The fourth proportional to 9,984.56, 14,953.08 and 9,634.64 is: 14,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.56 : 14,953.08 = 9,634.64 : x
  2. Step 2: Convert to fraction form
    9,984.56/14,953.08 = 9,634.64/x
  3. Step 3: Cross multiply
    9,984.56x = 14,953.08 × 9,634.64
  4. Step 4: Simplify right side
    9,984.56x = 144,067,542.69
  5. Step 5: Solve for x
    x = 144,067,542.69/9,984.56
  6. Step 6: Final answer
    x = 14,429.03

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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.