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Finding the Fourth Proportional to 9,675.02, 14,512.80 and 3,433.70

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Solution

The fourth proportional to 9,675.02, 14,512.80 and 3,433.70 is: 5,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.02 : 14,512.80 = 3,433.70 : x
  2. Step 2: Convert to fraction form
    9,675.02/14,512.80 = 3,433.70/x
  3. Step 3: Cross multiply
    9,675.02x = 14,512.80 × 3,433.70
  4. Step 4: Simplify right side
    9,675.02x = 49,832,601.36
  5. Step 5: Solve for x
    x = 49,832,601.36/9,675.02
  6. Step 6: Final answer
    x = 5,150.65

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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.