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Finding the Fourth Proportional to 9,512.50, 14,275.23 and 3,356.50

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Solution

The fourth proportional to 9,512.50, 14,275.23 and 3,356.50 is: 5,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.50 : 14,275.23 = 3,356.50 : x
  2. Step 2: Convert to fraction form
    9,512.50/14,275.23 = 3,356.50/x
  3. Step 3: Cross multiply
    9,512.50x = 14,275.23 × 3,356.50
  4. Step 4: Simplify right side
    9,512.50x = 47,914,809.50
  5. Step 5: Solve for x
    x = 47,914,809.50/9,512.50
  6. Step 6: Final answer
    x = 5,037.04

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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.