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Finding the Fourth Proportional to 9,175.56, 12,663.09 and 5,196.93

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Solution

The fourth proportional to 9,175.56, 12,663.09 and 5,196.93 is: 7,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.56 : 12,663.09 = 5,196.93 : x
  2. Step 2: Convert to fraction form
    9,175.56/12,663.09 = 5,196.93/x
  3. Step 3: Cross multiply
    9,175.56x = 12,663.09 × 5,196.93
  4. Step 4: Simplify right side
    9,175.56x = 65,809,192.31
  5. Step 5: Solve for x
    x = 65,809,192.31/9,175.56
  6. Step 6: Final answer
    x = 7,172.23

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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.