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Finding the Fourth Proportional to 9,204.46, 13,804.75 and 2,965.03

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Solution

The fourth proportional to 9,204.46, 13,804.75 and 2,965.03 is: 4,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.46 : 13,804.75 = 2,965.03 : x
  2. Step 2: Convert to fraction form
    9,204.46/13,804.75 = 2,965.03/x
  3. Step 3: Cross multiply
    9,204.46x = 13,804.75 × 2,965.03
  4. Step 4: Simplify right side
    9,204.46x = 40,931,497.89
  5. Step 5: Solve for x
    x = 40,931,497.89/9,204.46
  6. Step 6: Final answer
    x = 4,446.92

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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.