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Finding the Fourth Proportional to 6,005.34, 9,007.20 and 1,622.97

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Solution

The fourth proportional to 6,005.34, 9,007.20 and 1,622.97 is: 2,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.34 : 9,007.20 = 1,622.97 : x
  2. Step 2: Convert to fraction form
    6,005.34/9,007.20 = 1,622.97/x
  3. Step 3: Cross multiply
    6,005.34x = 9,007.20 × 1,622.97
  4. Step 4: Simplify right side
    6,005.34x = 14,618,415.38
  5. Step 5: Solve for x
    x = 14,618,415.38/6,005.34
  6. Step 6: Final answer
    x = 2,434.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.