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Finding the Fourth Proportional to 6,169.97, 9,254.95 and 2,009.98

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Solution

The fourth proportional to 6,169.97, 9,254.95 and 2,009.98 is: 3,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.97 : 9,254.95 = 2,009.98 : x
  2. Step 2: Convert to fraction form
    6,169.97/9,254.95 = 2,009.98/x
  3. Step 3: Cross multiply
    6,169.97x = 9,254.95 × 2,009.98
  4. Step 4: Simplify right side
    6,169.97x = 18,602,223.15
  5. Step 5: Solve for x
    x = 18,602,223.15/6,169.97
  6. Step 6: Final answer
    x = 3,014.96

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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.