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Finding the Fourth Proportional to 9,354.32, 14,034.12 and 3,811.65

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Solution

The fourth proportional to 9,354.32, 14,034.12 and 3,811.65 is: 5,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.32 : 14,034.12 = 3,811.65 : x
  2. Step 2: Convert to fraction form
    9,354.32/14,034.12 = 3,811.65/x
  3. Step 3: Cross multiply
    9,354.32x = 14,034.12 × 3,811.65
  4. Step 4: Simplify right side
    9,354.32x = 53,493,153.50
  5. Step 5: Solve for x
    x = 53,493,153.50/9,354.32
  6. Step 6: Final answer
    x = 5,718.55

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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.