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Finding the Fourth Proportional to 9,171.50, 13,746.74 and 4,168.49

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Solution

The fourth proportional to 9,171.50, 13,746.74 and 4,168.49 is: 6,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.50 : 13,746.74 = 4,168.49 : x
  2. Step 2: Convert to fraction form
    9,171.50/13,746.74 = 4,168.49/x
  3. Step 3: Cross multiply
    9,171.50x = 13,746.74 × 4,168.49
  4. Step 4: Simplify right side
    9,171.50x = 57,303,193.01
  5. Step 5: Solve for x
    x = 57,303,193.01/9,171.50
  6. Step 6: Final answer
    x = 6,247.96

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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.