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Finding the Fourth Proportional to 9,843.52, 14,765.28 and 2,917.52

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Solution

The fourth proportional to 9,843.52, 14,765.28 and 2,917.52 is: 4,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.52 : 14,765.28 = 2,917.52 : x
  2. Step 2: Convert to fraction form
    9,843.52/14,765.28 = 2,917.52/x
  3. Step 3: Cross multiply
    9,843.52x = 14,765.28 × 2,917.52
  4. Step 4: Simplify right side
    9,843.52x = 43,077,999.71
  5. Step 5: Solve for x
    x = 43,077,999.71/9,843.52
  6. Step 6: Final answer
    x = 4,376.28

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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.