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Finding the Fourth Proportional to 9,175.93, 12,663.48 and 5,196.94

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Solution

The fourth proportional to 9,175.93, 12,663.48 and 5,196.94 is: 7,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.93 : 12,663.48 = 5,196.94 : x
  2. Step 2: Convert to fraction form
    9,175.93/12,663.48 = 5,196.94/x
  3. Step 3: Cross multiply
    9,175.93x = 12,663.48 × 5,196.94
  4. Step 4: Simplify right side
    9,175.93x = 65,811,345.75
  5. Step 5: Solve for x
    x = 65,811,345.75/9,175.93
  6. Step 6: Final answer
    x = 7,172.17

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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.