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Finding the Fourth Proportional to 9,843.36, 14,765.28 and 2,917.92

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Solution

The fourth proportional to 9,843.36, 14,765.28 and 2,917.92 is: 4,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.36 : 14,765.28 = 2,917.92 : x
  2. Step 2: Convert to fraction form
    9,843.36/14,765.28 = 2,917.92/x
  3. Step 3: Cross multiply
    9,843.36x = 14,765.28 × 2,917.92
  4. Step 4: Simplify right side
    9,843.36x = 43,083,905.82
  5. Step 5: Solve for x
    x = 43,083,905.82/9,843.36
  6. Step 6: Final answer
    x = 4,376.95

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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.