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Finding the Fourth Proportional to 9,684.41, 14,532.74 and 4,137.78

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Solution

The fourth proportional to 9,684.41, 14,532.74 and 4,137.78 is: 6,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.41 : 14,532.74 = 4,137.78 : x
  2. Step 2: Convert to fraction form
    9,684.41/14,532.74 = 4,137.78/x
  3. Step 3: Cross multiply
    9,684.41x = 14,532.74 × 4,137.78
  4. Step 4: Simplify right side
    9,684.41x = 60,133,208.25
  5. Step 5: Solve for x
    x = 60,133,208.25/9,684.41
  6. Step 6: Final answer
    x = 6,209.28

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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.