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Finding the Fourth Proportional to 9,175.88, 12,663.93 and 5,196.99

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Solution

The fourth proportional to 9,175.88, 12,663.93 and 5,196.99 is: 7,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.88 : 12,663.93 = 5,196.99 : x
  2. Step 2: Convert to fraction form
    9,175.88/12,663.93 = 5,196.99/x
  3. Step 3: Cross multiply
    9,175.88x = 12,663.93 × 5,196.99
  4. Step 4: Simplify right side
    9,175.88x = 65,814,317.57
  5. Step 5: Solve for x
    x = 65,814,317.57/9,175.88
  6. Step 6: Final answer
    x = 7,172.54

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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.