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Finding the Fourth Proportional to 9,577.46, 14,365.82 and 2,557.46

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Solution

The fourth proportional to 9,577.46, 14,365.82 and 2,557.46 is: 3,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.46 : 14,365.82 = 2,557.46 : x
  2. Step 2: Convert to fraction form
    9,577.46/14,365.82 = 2,557.46/x
  3. Step 3: Cross multiply
    9,577.46x = 14,365.82 × 2,557.46
  4. Step 4: Simplify right side
    9,577.46x = 36,740,052.33
  5. Step 5: Solve for x
    x = 36,740,052.33/9,577.46
  6. Step 6: Final answer
    x = 3,836.09

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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.