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Finding the Fourth Proportional to 6,805, 9,387.25 and 4,563.02

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Solution

The fourth proportional to 6,805, 9,387.25 and 4,563.02 is: 6,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805 : 9,387.25 = 4,563.02 : x
  2. Step 2: Convert to fraction form
    6,805/9,387.25 = 4,563.02/x
  3. Step 3: Cross multiply
    6,805x = 9,387.25 × 4,563.02
  4. Step 4: Simplify right side
    6,805x = 42,834,209.50
  5. Step 5: Solve for x
    x = 42,834,209.50/6,805
  6. Step 6: Final answer
    x = 6,294.52

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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.