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Finding the Fourth Proportional to 9,540.72, 14,272.17 and 7,693.92

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Solution

The fourth proportional to 9,540.72, 14,272.17 and 7,693.92 is: 11,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.72 : 14,272.17 = 7,693.92 : x
  2. Step 2: Convert to fraction form
    9,540.72/14,272.17 = 7,693.92/x
  3. Step 3: Cross multiply
    9,540.72x = 14,272.17 × 7,693.92
  4. Step 4: Simplify right side
    9,540.72x = 109,808,934.21
  5. Step 5: Solve for x
    x = 109,808,934.21/9,540.72
  6. Step 6: Final answer
    x = 11,509.50

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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.