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Finding the Fourth Proportional to 9,197.04, 13,774.08 and 6,725.64

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Solution

The fourth proportional to 9,197.04, 13,774.08 and 6,725.64 is: 10,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.04 : 13,774.08 = 6,725.64 : x
  2. Step 2: Convert to fraction form
    9,197.04/13,774.08 = 6,725.64/x
  3. Step 3: Cross multiply
    9,197.04x = 13,774.08 × 6,725.64
  4. Step 4: Simplify right side
    9,197.04x = 92,639,503.41
  5. Step 5: Solve for x
    x = 92,639,503.41/9,197.04
  6. Step 6: Final answer
    x = 10,072.75

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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.