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Finding the Fourth Proportional to 6,283.46, 9,417.10 and 3,321.78

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Solution

The fourth proportional to 6,283.46, 9,417.10 and 3,321.78 is: 4,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.46 : 9,417.10 = 3,321.78 : x
  2. Step 2: Convert to fraction form
    6,283.46/9,417.10 = 3,321.78/x
  3. Step 3: Cross multiply
    6,283.46x = 9,417.10 × 3,321.78
  4. Step 4: Simplify right side
    6,283.46x = 31,281,534.44
  5. Step 5: Solve for x
    x = 31,281,534.44/6,283.46
  6. Step 6: Final answer
    x = 4,978.39

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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.