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Finding the Fourth Proportional to 9,175.21, 12,661.90 and 5,196.23

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Solution

The fourth proportional to 9,175.21, 12,661.90 and 5,196.23 is: 7,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.21 : 12,661.90 = 5,196.23 : x
  2. Step 2: Convert to fraction form
    9,175.21/12,661.90 = 5,196.23/x
  3. Step 3: Cross multiply
    9,175.21x = 12,661.90 × 5,196.23
  4. Step 4: Simplify right side
    9,175.21x = 65,794,068.34
  5. Step 5: Solve for x
    x = 65,794,068.34/9,175.21
  6. Step 6: Final answer
    x = 7,170.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.