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Finding the Fourth Proportional to 9,683.97, 14,532.09 and 4,137.35

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Solution

The fourth proportional to 9,683.97, 14,532.09 and 4,137.35 is: 6,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.97 : 14,532.09 = 4,137.35 : x
  2. Step 2: Convert to fraction form
    9,683.97/14,532.09 = 4,137.35/x
  3. Step 3: Cross multiply
    9,683.97x = 14,532.09 × 4,137.35
  4. Step 4: Simplify right side
    9,683.97x = 60,124,359.40
  5. Step 5: Solve for x
    x = 60,124,359.40/9,683.97
  6. Step 6: Final answer
    x = 6,208.65

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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.