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Finding the Fourth Proportional to 9,575.35, 14,371.27 and 3,736.06

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Solution

The fourth proportional to 9,575.35, 14,371.27 and 3,736.06 is: 5,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.35 : 14,371.27 = 3,736.06 : x
  2. Step 2: Convert to fraction form
    9,575.35/14,371.27 = 3,736.06/x
  3. Step 3: Cross multiply
    9,575.35x = 14,371.27 × 3,736.06
  4. Step 4: Simplify right side
    9,575.35x = 53,691,881.73
  5. Step 5: Solve for x
    x = 53,691,881.73/9,575.35
  6. Step 6: Final answer
    x = 5,607.30

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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.