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Finding the Fourth Proportional to 4,006.08, 6,009.12 and 4,000.32

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Solution

The fourth proportional to 4,006.08, 6,009.12 and 4,000.32 is: 6,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.08 : 6,009.12 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    4,006.08/6,009.12 = 4,000.32/x
  3. Step 3: Cross multiply
    4,006.08x = 6,009.12 × 4,000.32
  4. Step 4: Simplify right side
    4,006.08x = 24,038,402.92
  5. Step 5: Solve for x
    x = 24,038,402.92/4,006.08
  6. Step 6: Final answer
    x = 6,000.48

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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.