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Finding the Fourth Proportional to 6,194.09, 8,545.01 and 4,310.16

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Solution

The fourth proportional to 6,194.09, 8,545.01 and 4,310.16 is: 5,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.09 : 8,545.01 = 4,310.16 : x
  2. Step 2: Convert to fraction form
    6,194.09/8,545.01 = 4,310.16/x
  3. Step 3: Cross multiply
    6,194.09x = 8,545.01 × 4,310.16
  4. Step 4: Simplify right side
    6,194.09x = 36,830,338.75
  5. Step 5: Solve for x
    x = 36,830,338.75/6,194.09
  6. Step 6: Final answer
    x = 5,946.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.