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Finding the Fourth Proportional to 6,873.62, 9,486 and 3,889.75

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Solution

The fourth proportional to 6,873.62, 9,486 and 3,889.75 is: 5,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.62 : 9,486 = 3,889.75 : x
  2. Step 2: Convert to fraction form
    6,873.62/9,486 = 3,889.75/x
  3. Step 3: Cross multiply
    6,873.62x = 9,486 × 3,889.75
  4. Step 4: Simplify right side
    6,873.62x = 36,898,168.50
  5. Step 5: Solve for x
    x = 36,898,168.50/6,873.62
  6. Step 6: Final answer
    x = 5,368.08

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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.