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Finding the Fourth Proportional to 9,684.84, 14,533.41 and 4,138.23

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Solution

The fourth proportional to 9,684.84, 14,533.41 and 4,138.23 is: 6,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.84 : 14,533.41 = 4,138.23 : x
  2. Step 2: Convert to fraction form
    9,684.84/14,533.41 = 4,138.23/x
  3. Step 3: Cross multiply
    9,684.84x = 14,533.41 × 4,138.23
  4. Step 4: Simplify right side
    9,684.84x = 60,142,572.57
  5. Step 5: Solve for x
    x = 60,142,572.57/9,684.84
  6. Step 6: Final answer
    x = 6,209.97

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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.