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Finding the Fourth Proportional to 6,016.30, 9,012.06 and 3,543.70

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Solution

The fourth proportional to 6,016.30, 9,012.06 and 3,543.70 is: 5,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.30 : 9,012.06 = 3,543.70 : x
  2. Step 2: Convert to fraction form
    6,016.30/9,012.06 = 3,543.70/x
  3. Step 3: Cross multiply
    6,016.30x = 9,012.06 × 3,543.70
  4. Step 4: Simplify right side
    6,016.30x = 31,936,037.02
  5. Step 5: Solve for x
    x = 31,936,037.02/6,016.30
  6. Step 6: Final answer
    x = 5,308.25

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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.