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Finding the Fourth Proportional to 9,976.32, 14,959.88 and 2,953.82

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Solution

The fourth proportional to 9,976.32, 14,959.88 and 2,953.82 is: 4,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.32 : 14,959.88 = 2,953.82 : x
  2. Step 2: Convert to fraction form
    9,976.32/14,959.88 = 2,953.82/x
  3. Step 3: Cross multiply
    9,976.32x = 14,959.88 × 2,953.82
  4. Step 4: Simplify right side
    9,976.32x = 44,188,792.74
  5. Step 5: Solve for x
    x = 44,188,792.74/9,976.32
  6. Step 6: Final answer
    x = 4,429.37

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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.