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Finding the Fourth Proportional to 6,316.94, 9,470.97 and 2,805.05

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Solution

The fourth proportional to 6,316.94, 9,470.97 and 2,805.05 is: 4,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.94 : 9,470.97 = 2,805.05 : x
  2. Step 2: Convert to fraction form
    6,316.94/9,470.97 = 2,805.05/x
  3. Step 3: Cross multiply
    6,316.94x = 9,470.97 × 2,805.05
  4. Step 4: Simplify right side
    6,316.94x = 26,566,497.04
  5. Step 5: Solve for x
    x = 26,566,497.04/6,316.94
  6. Step 6: Final answer
    x = 4,205.60

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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.