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Finding the Fourth Proportional to 9,177.95, 12,665.85 and 5,199.64

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Solution

The fourth proportional to 9,177.95, 12,665.85 and 5,199.64 is: 7,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.95 : 12,665.85 = 5,199.64 : x
  2. Step 2: Convert to fraction form
    9,177.95/12,665.85 = 5,199.64/x
  3. Step 3: Cross multiply
    9,177.95x = 12,665.85 × 5,199.64
  4. Step 4: Simplify right side
    9,177.95x = 65,857,860.29
  5. Step 5: Solve for x
    x = 65,857,860.29/9,177.95
  6. Step 6: Final answer
    x = 7,175.66

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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.