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Finding the Fourth Proportional to 6,857.61, 9,463.05 and 3,873.75

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Solution

The fourth proportional to 6,857.61, 9,463.05 and 3,873.75 is: 5,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.61 : 9,463.05 = 3,873.75 : x
  2. Step 2: Convert to fraction form
    6,857.61/9,463.05 = 3,873.75/x
  3. Step 3: Cross multiply
    6,857.61x = 9,463.05 × 3,873.75
  4. Step 4: Simplify right side
    6,857.61x = 36,657,489.94
  5. Step 5: Solve for x
    x = 36,657,489.94/6,857.61
  6. Step 6: Final answer
    x = 5,345.52

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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.