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Finding the Fourth Proportional to 9,175.60, 12,661.92 and 5,196.88

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Solution

The fourth proportional to 9,175.60, 12,661.92 and 5,196.88 is: 7,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.60 : 12,661.92 = 5,196.88 : x
  2. Step 2: Convert to fraction form
    9,175.60/12,661.92 = 5,196.88/x
  3. Step 3: Cross multiply
    9,175.60x = 12,661.92 × 5,196.88
  4. Step 4: Simplify right side
    9,175.60x = 65,802,478.81
  5. Step 5: Solve for x
    x = 65,802,478.81/9,175.60
  6. Step 6: Final answer
    x = 7,171.46

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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.