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Finding the Fourth Proportional to 9,124.65, 13,662.27 and 4,732.88

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Solution

The fourth proportional to 9,124.65, 13,662.27 and 4,732.88 is: 7,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.65 : 13,662.27 = 4,732.88 : x
  2. Step 2: Convert to fraction form
    9,124.65/13,662.27 = 4,732.88/x
  3. Step 3: Cross multiply
    9,124.65x = 13,662.27 × 4,732.88
  4. Step 4: Simplify right side
    9,124.65x = 64,661,892.98
  5. Step 5: Solve for x
    x = 64,661,892.98/9,124.65
  6. Step 6: Final answer
    x = 7,086.51

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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.