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Finding the Fourth Proportional to 9,409.75, 14,114.63 and 3,253.75

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Solution

The fourth proportional to 9,409.75, 14,114.63 and 3,253.75 is: 4,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.75 : 14,114.63 = 3,253.75 : x
  2. Step 2: Convert to fraction form
    9,409.75/14,114.63 = 3,253.75/x
  3. Step 3: Cross multiply
    9,409.75x = 14,114.63 × 3,253.75
  4. Step 4: Simplify right side
    9,409.75x = 45,925,461.09
  5. Step 5: Solve for x
    x = 45,925,461.09/9,409.75
  6. Step 6: Final answer
    x = 4,880.63

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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.