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Finding the Fourth Proportional to 6,283.14, 8,670.12 and 3,630.18

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Solution

The fourth proportional to 6,283.14, 8,670.12 and 3,630.18 is: 5,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.14 : 8,670.12 = 3,630.18 : x
  2. Step 2: Convert to fraction form
    6,283.14/8,670.12 = 3,630.18/x
  3. Step 3: Cross multiply
    6,283.14x = 8,670.12 × 3,630.18
  4. Step 4: Simplify right side
    6,283.14x = 31,474,096.22
  5. Step 5: Solve for x
    x = 31,474,096.22/6,283.14
  6. Step 6: Final answer
    x = 5,009.29

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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.