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Finding the Fourth Proportional to 6,347.62, 9,473.22 and 6,200.20

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Solution

The fourth proportional to 6,347.62, 9,473.22 and 6,200.20 is: 9,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.62 : 9,473.22 = 6,200.20 : x
  2. Step 2: Convert to fraction form
    6,347.62/9,473.22 = 6,200.20/x
  3. Step 3: Cross multiply
    6,347.62x = 9,473.22 × 6,200.20
  4. Step 4: Simplify right side
    6,347.62x = 58,735,858.64
  5. Step 5: Solve for x
    x = 58,735,858.64/6,347.62
  6. Step 6: Final answer
    x = 9,253.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.