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Finding the Fourth Proportional to 9,512.53, 14,265.12 and 3,271.36

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Solution

The fourth proportional to 9,512.53, 14,265.12 and 3,271.36 is: 4,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.53 : 14,265.12 = 3,271.36 : x
  2. Step 2: Convert to fraction form
    9,512.53/14,265.12 = 3,271.36/x
  3. Step 3: Cross multiply
    9,512.53x = 14,265.12 × 3,271.36
  4. Step 4: Simplify right side
    9,512.53x = 46,666,342.96
  5. Step 5: Solve for x
    x = 46,666,342.96/9,512.53
  6. Step 6: Final answer
    x = 4,905.78

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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.