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Finding the Fourth Proportional to 6,417.78, 9,622.35 and 3,293.88

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Solution

The fourth proportional to 6,417.78, 9,622.35 and 3,293.88 is: 4,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.78 : 9,622.35 = 3,293.88 : x
  2. Step 2: Convert to fraction form
    6,417.78/9,622.35 = 3,293.88/x
  3. Step 3: Cross multiply
    6,417.78x = 9,622.35 × 3,293.88
  4. Step 4: Simplify right side
    6,417.78x = 31,694,866.22
  5. Step 5: Solve for x
    x = 31,694,866.22/6,417.78
  6. Step 6: Final answer
    x = 4,938.60

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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.