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Finding the Fourth Proportional to 9,946.83, 14,883.42 and 8,755.28

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Solution

The fourth proportional to 9,946.83, 14,883.42 and 8,755.28 is: 13,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.83 : 14,883.42 = 8,755.28 : x
  2. Step 2: Convert to fraction form
    9,946.83/14,883.42 = 8,755.28/x
  3. Step 3: Cross multiply
    9,946.83x = 14,883.42 × 8,755.28
  4. Step 4: Simplify right side
    9,946.83x = 130,308,435.04
  5. Step 5: Solve for x
    x = 130,308,435.04/9,946.83
  6. Step 6: Final answer
    x = 13,100.50

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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.