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Finding the Fourth Proportional to 6,202.42, 8,564.88 and 4,627.78

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Solution

The fourth proportional to 6,202.42, 8,564.88 and 4,627.78 is: 6,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.42 : 8,564.88 = 4,627.78 : x
  2. Step 2: Convert to fraction form
    6,202.42/8,564.88 = 4,627.78/x
  3. Step 3: Cross multiply
    6,202.42x = 8,564.88 × 4,627.78
  4. Step 4: Simplify right side
    6,202.42x = 39,636,380.37
  5. Step 5: Solve for x
    x = 39,636,380.37/6,202.42
  6. Step 6: Final answer
    x = 6,390.47

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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.