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Finding the Fourth Proportional to 9,685.02, 14,528.34 and 3,446.40

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Solution

The fourth proportional to 9,685.02, 14,528.34 and 3,446.40 is: 5,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.02 : 14,528.34 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    9,685.02/14,528.34 = 3,446.40/x
  3. Step 3: Cross multiply
    9,685.02x = 14,528.34 × 3,446.40
  4. Step 4: Simplify right side
    9,685.02x = 50,070,470.98
  5. Step 5: Solve for x
    x = 50,070,470.98/9,685.02
  6. Step 6: Final answer
    x = 5,169.89

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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.