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Finding the Fourth Proportional to 10,022.39, 13,842.27 and 6,830.22

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Solution

The fourth proportional to 10,022.39, 13,842.27 and 6,830.22 is: 9,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.39 : 13,842.27 = 6,830.22 : x
  2. Step 2: Convert to fraction form
    10,022.39/13,842.27 = 6,830.22/x
  3. Step 3: Cross multiply
    10,022.39x = 13,842.27 × 6,830.22
  4. Step 4: Simplify right side
    10,022.39x = 94,545,826.92
  5. Step 5: Solve for x
    x = 94,545,826.92/10,022.39
  6. Step 6: Final answer
    x = 9,433.46

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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.