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Finding the Fourth Proportional to 6,316.52, 9,474.84 and 2,420

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Solution

The fourth proportional to 6,316.52, 9,474.84 and 2,420 is: 3,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.52 : 9,474.84 = 2,420 : x
  2. Step 2: Convert to fraction form
    6,316.52/9,474.84 = 2,420/x
  3. Step 3: Cross multiply
    6,316.52x = 9,474.84 × 2,420
  4. Step 4: Simplify right side
    6,316.52x = 22,929,112.80
  5. Step 5: Solve for x
    x = 22,929,112.80/6,316.52
  6. Step 6: Final answer
    x = 3,630.02

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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.