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Finding the Fourth Proportional to 6,415.17, 9,615.39 and 2,945.13

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Solution

The fourth proportional to 6,415.17, 9,615.39 and 2,945.13 is: 4,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.17 : 9,615.39 = 2,945.13 : x
  2. Step 2: Convert to fraction form
    6,415.17/9,615.39 = 2,945.13/x
  3. Step 3: Cross multiply
    6,415.17x = 9,615.39 × 2,945.13
  4. Step 4: Simplify right side
    6,415.17x = 28,318,573.55
  5. Step 5: Solve for x
    x = 28,318,573.55/6,415.17
  6. Step 6: Final answer
    x = 4,414.31

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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.