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Finding the Fourth Proportional to 9,685.31, 14,519.46 and 6,391.45

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Solution

The fourth proportional to 9,685.31, 14,519.46 and 6,391.45 is: 9,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.31 : 14,519.46 = 6,391.45 : x
  2. Step 2: Convert to fraction form
    9,685.31/14,519.46 = 6,391.45/x
  3. Step 3: Cross multiply
    9,685.31x = 14,519.46 × 6,391.45
  4. Step 4: Simplify right side
    9,685.31x = 92,800,330.02
  5. Step 5: Solve for x
    x = 92,800,330.02/9,685.31
  6. Step 6: Final answer
    x = 9,581.55

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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.