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Finding the Fourth Proportional to 6,009.08, 9,013.73 and 1,566.90

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Solution

The fourth proportional to 6,009.08, 9,013.73 and 1,566.90 is: 2,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.08 : 9,013.73 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    6,009.08/9,013.73 = 1,566.90/x
  3. Step 3: Cross multiply
    6,009.08x = 9,013.73 × 1,566.90
  4. Step 4: Simplify right side
    6,009.08x = 14,123,605.70
  5. Step 5: Solve for x
    x = 14,123,605.70/6,009.08
  6. Step 6: Final answer
    x = 2,350.38

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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.