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Finding the Fourth Proportional to 9,507.80, 14,256.02 and 3,954.44

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Solution

The fourth proportional to 9,507.80, 14,256.02 and 3,954.44 is: 5,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.80 : 14,256.02 = 3,954.44 : x
  2. Step 2: Convert to fraction form
    9,507.80/14,256.02 = 3,954.44/x
  3. Step 3: Cross multiply
    9,507.80x = 14,256.02 × 3,954.44
  4. Step 4: Simplify right side
    9,507.80x = 56,374,575.73
  5. Step 5: Solve for x
    x = 56,374,575.73/9,507.80
  6. Step 6: Final answer
    x = 5,929.30

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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.