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Finding the Fourth Proportional to 9,287.64, 13,932.39 and 2,713.88

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Solution

The fourth proportional to 9,287.64, 13,932.39 and 2,713.88 is: 4,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.64 : 13,932.39 = 2,713.88 : x
  2. Step 2: Convert to fraction form
    9,287.64/13,932.39 = 2,713.88/x
  3. Step 3: Cross multiply
    9,287.64x = 13,932.39 × 2,713.88
  4. Step 4: Simplify right side
    9,287.64x = 37,810,764.91
  5. Step 5: Solve for x
    x = 37,810,764.91/9,287.64
  6. Step 6: Final answer
    x = 4,071.08

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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.