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Finding the Fourth Proportional to 6,363.69, 9,541.69 and 2,853.06

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Solution

The fourth proportional to 6,363.69, 9,541.69 and 2,853.06 is: 4,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.69 : 9,541.69 = 2,853.06 : x
  2. Step 2: Convert to fraction form
    6,363.69/9,541.69 = 2,853.06/x
  3. Step 3: Cross multiply
    6,363.69x = 9,541.69 × 2,853.06
  4. Step 4: Simplify right side
    6,363.69x = 27,222,966.36
  5. Step 5: Solve for x
    x = 27,222,966.36/6,363.69
  6. Step 6: Final answer
    x = 4,277.86

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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.