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Finding the Fourth Proportional to 6,412.88, 9,611.42 and 4,553.93

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Solution

The fourth proportional to 6,412.88, 9,611.42 and 4,553.93 is: 6,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.88 : 9,611.42 = 4,553.93 : x
  2. Step 2: Convert to fraction form
    6,412.88/9,611.42 = 4,553.93/x
  3. Step 3: Cross multiply
    6,412.88x = 9,611.42 × 4,553.93
  4. Step 4: Simplify right side
    6,412.88x = 43,769,663.05
  5. Step 5: Solve for x
    x = 43,769,663.05/6,412.88
  6. Step 6: Final answer
    x = 6,825.28

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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.