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Finding the Fourth Proportional to 6,005.52, 9,005.98 and 4,151.02

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Solution

The fourth proportional to 6,005.52, 9,005.98 and 4,151.02 is: 6,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.52 : 9,005.98 = 4,151.02 : x
  2. Step 2: Convert to fraction form
    6,005.52/9,005.98 = 4,151.02/x
  3. Step 3: Cross multiply
    6,005.52x = 9,005.98 × 4,151.02
  4. Step 4: Simplify right side
    6,005.52x = 37,384,003.10
  5. Step 5: Solve for x
    x = 37,384,003.10/6,005.52
  6. Step 6: Final answer
    x = 6,224.94

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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.