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Finding the Fourth Proportional to 10,009.54, 13,814.88 and 5,820.22

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Solution

The fourth proportional to 10,009.54, 13,814.88 and 5,820.22 is: 8,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.54 : 13,814.88 = 5,820.22 : x
  2. Step 2: Convert to fraction form
    10,009.54/13,814.88 = 5,820.22/x
  3. Step 3: Cross multiply
    10,009.54x = 13,814.88 × 5,820.22
  4. Step 4: Simplify right side
    10,009.54x = 80,405,640.87
  5. Step 5: Solve for x
    x = 80,405,640.87/10,009.54
  6. Step 6: Final answer
    x = 8,032.90

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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.