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Finding the Fourth Proportional to 6,415.70, 9,616.26 and 2,715.62

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Solution

The fourth proportional to 6,415.70, 9,616.26 and 2,715.62 is: 4,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.70 : 9,616.26 = 2,715.62 : x
  2. Step 2: Convert to fraction form
    6,415.70/9,616.26 = 2,715.62/x
  3. Step 3: Cross multiply
    6,415.70x = 9,616.26 × 2,715.62
  4. Step 4: Simplify right side
    6,415.70x = 26,114,107.98
  5. Step 5: Solve for x
    x = 26,114,107.98/6,415.70
  6. Step 6: Final answer
    x = 4,070.34

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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.