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Finding the Fourth Proportional to 9,539.96, 14,299.92 and 5,156.24

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Solution

The fourth proportional to 9,539.96, 14,299.92 and 5,156.24 is: 7,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.96 : 14,299.92 = 5,156.24 : x
  2. Step 2: Convert to fraction form
    9,539.96/14,299.92 = 5,156.24/x
  3. Step 3: Cross multiply
    9,539.96x = 14,299.92 × 5,156.24
  4. Step 4: Simplify right side
    9,539.96x = 73,733,819.50
  5. Step 5: Solve for x
    x = 73,733,819.50/9,539.96
  6. Step 6: Final answer
    x = 7,728.94

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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.