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Finding the Fourth Proportional to 6,577.41, 9,869 and 3,456.69

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Solution

The fourth proportional to 6,577.41, 9,869 and 3,456.69 is: 5,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.41 : 9,869 = 3,456.69 : x
  2. Step 2: Convert to fraction form
    6,577.41/9,869 = 3,456.69/x
  3. Step 3: Cross multiply
    6,577.41x = 9,869 × 3,456.69
  4. Step 4: Simplify right side
    6,577.41x = 34,114,073.61
  5. Step 5: Solve for x
    x = 34,114,073.61/6,577.41
  6. Step 6: Final answer
    x = 5,186.55

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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.