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Finding the Fourth Proportional to 6,005.72, 9,007.32 and 1,622.15

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Solution

The fourth proportional to 6,005.72, 9,007.32 and 1,622.15 is: 2,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.72 : 9,007.32 = 1,622.15 : x
  2. Step 2: Convert to fraction form
    6,005.72/9,007.32 = 1,622.15/x
  3. Step 3: Cross multiply
    6,005.72x = 9,007.32 × 1,622.15
  4. Step 4: Simplify right side
    6,005.72x = 14,611,218.96
  5. Step 5: Solve for x
    x = 14,611,218.96/6,005.72
  6. Step 6: Final answer
    x = 2,432.89

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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.