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Finding the Fourth Proportional to 6,348.46, 9,517.53 and 2,653.45

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Solution

The fourth proportional to 6,348.46, 9,517.53 and 2,653.45 is: 3,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.46 : 9,517.53 = 2,653.45 : x
  2. Step 2: Convert to fraction form
    6,348.46/9,517.53 = 2,653.45/x
  3. Step 3: Cross multiply
    6,348.46x = 9,517.53 × 2,653.45
  4. Step 4: Simplify right side
    6,348.46x = 25,254,289.98
  5. Step 5: Solve for x
    x = 25,254,289.98/6,348.46
  6. Step 6: Final answer
    x = 3,978.02

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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.