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Finding the Fourth Proportional to 9,611.87, 14,415.48 and 4,929.44

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Solution

The fourth proportional to 9,611.87, 14,415.48 and 4,929.44 is: 7,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.87 : 14,415.48 = 4,929.44 : x
  2. Step 2: Convert to fraction form
    9,611.87/14,415.48 = 4,929.44/x
  3. Step 3: Cross multiply
    9,611.87x = 14,415.48 × 4,929.44
  4. Step 4: Simplify right side
    9,611.87x = 71,060,171.65
  5. Step 5: Solve for x
    x = 71,060,171.65/9,611.87
  6. Step 6: Final answer
    x = 7,392.96

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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.