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Finding the Fourth Proportional to 7,004.22, 9,665.43 and 4,351.58

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Solution

The fourth proportional to 7,004.22, 9,665.43 and 4,351.58 is: 6,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.22 : 9,665.43 = 4,351.58 : x
  2. Step 2: Convert to fraction form
    7,004.22/9,665.43 = 4,351.58/x
  3. Step 3: Cross multiply
    7,004.22x = 9,665.43 × 4,351.58
  4. Step 4: Simplify right side
    7,004.22x = 42,059,891.88
  5. Step 5: Solve for x
    x = 42,059,891.88/7,004.22
  6. Step 6: Final answer
    x = 6,004.94

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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.