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Finding the Fourth Proportional to 6,616.46, 9,125.90 and 4,380.26

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Solution

The fourth proportional to 6,616.46, 9,125.90 and 4,380.26 is: 6,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.46 : 9,125.90 = 4,380.26 : x
  2. Step 2: Convert to fraction form
    6,616.46/9,125.90 = 4,380.26/x
  3. Step 3: Cross multiply
    6,616.46x = 9,125.90 × 4,380.26
  4. Step 4: Simplify right side
    6,616.46x = 39,973,814.73
  5. Step 5: Solve for x
    x = 39,973,814.73/6,616.46
  6. Step 6: Final answer
    x = 6,041.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.