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Finding the Fourth Proportional to 9,976.44, 14,960.08 and 2,953.96

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Solution

The fourth proportional to 9,976.44, 14,960.08 and 2,953.96 is: 4,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.44 : 14,960.08 = 2,953.96 : x
  2. Step 2: Convert to fraction form
    9,976.44/14,960.08 = 2,953.96/x
  3. Step 3: Cross multiply
    9,976.44x = 14,960.08 × 2,953.96
  4. Step 4: Simplify right side
    9,976.44x = 44,191,477.92
  5. Step 5: Solve for x
    x = 44,191,477.92/9,976.44
  6. Step 6: Final answer
    x = 4,429.58

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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.