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Finding the Fourth Proportional to 9,137.34, 13,706.02 and 3,218.60

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Solution

The fourth proportional to 9,137.34, 13,706.02 and 3,218.60 is: 4,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.34 : 13,706.02 = 3,218.60 : x
  2. Step 2: Convert to fraction form
    9,137.34/13,706.02 = 3,218.60/x
  3. Step 3: Cross multiply
    9,137.34x = 13,706.02 × 3,218.60
  4. Step 4: Simplify right side
    9,137.34x = 44,114,170.79
  5. Step 5: Solve for x
    x = 44,114,170.79/9,137.34
  6. Step 6: Final answer
    x = 4,827.90

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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.