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Finding the Fourth Proportional to 9,995.64, 13,793.94 and 5,804.68

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Solution

The fourth proportional to 9,995.64, 13,793.94 and 5,804.68 is: 8,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.64 : 13,793.94 = 5,804.68 : x
  2. Step 2: Convert to fraction form
    9,995.64/13,793.94 = 5,804.68/x
  3. Step 3: Cross multiply
    9,995.64x = 13,793.94 × 5,804.68
  4. Step 4: Simplify right side
    9,995.64x = 80,069,407.64
  5. Step 5: Solve for x
    x = 80,069,407.64/9,995.64
  6. Step 6: Final answer
    x = 8,010.43

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