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Finding the Fourth Proportional to 6,348.60, 9,517.14 and 2,883.96

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Solution

The fourth proportional to 6,348.60, 9,517.14 and 2,883.96 is: 4,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.60 : 9,517.14 = 2,883.96 : x
  2. Step 2: Convert to fraction form
    6,348.60/9,517.14 = 2,883.96/x
  3. Step 3: Cross multiply
    6,348.60x = 9,517.14 × 2,883.96
  4. Step 4: Simplify right side
    6,348.60x = 27,447,051.07
  5. Step 5: Solve for x
    x = 27,447,051.07/6,348.60
  6. Step 6: Final answer
    x = 4,323.32

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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.