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Finding the Fourth Proportional to 9,999.89, 13,800.60 and 5,752.25

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Solution

The fourth proportional to 9,999.89, 13,800.60 and 5,752.25 is: 7,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.89 : 13,800.60 = 5,752.25 : x
  2. Step 2: Convert to fraction form
    9,999.89/13,800.60 = 5,752.25/x
  3. Step 3: Cross multiply
    9,999.89x = 13,800.60 × 5,752.25
  4. Step 4: Simplify right side
    9,999.89x = 79,384,403.59
  5. Step 5: Solve for x
    x = 79,384,403.59/9,999.89
  6. Step 6: Final answer
    x = 7,938.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.