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Finding the Fourth Proportional to 9,523.92, 14,274 and 7,340.88

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Solution

The fourth proportional to 9,523.92, 14,274 and 7,340.88 is: 11,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.92 : 14,274 = 7,340.88 : x
  2. Step 2: Convert to fraction form
    9,523.92/14,274 = 7,340.88/x
  3. Step 3: Cross multiply
    9,523.92x = 14,274 × 7,340.88
  4. Step 4: Simplify right side
    9,523.92x = 104,783,721.12
  5. Step 5: Solve for x
    x = 104,783,721.12/9,523.92
  6. Step 6: Final answer
    x = 11,002.16

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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.