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Finding the Fourth Proportional to 9,175.67, 12,664.68 and 5,199.13

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Solution

The fourth proportional to 9,175.67, 12,664.68 and 5,199.13 is: 7,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.67 : 12,664.68 = 5,199.13 : x
  2. Step 2: Convert to fraction form
    9,175.67/12,664.68 = 5,199.13/x
  3. Step 3: Cross multiply
    9,175.67x = 12,664.68 × 5,199.13
  4. Step 4: Simplify right side
    9,175.67x = 65,845,254.41
  5. Step 5: Solve for x
    x = 65,845,254.41/9,175.67
  6. Step 6: Final answer
    x = 7,176.07

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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.