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Finding the Fourth Proportional to 9,178.84, 12,666.90 and 5,199.85

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Solution

The fourth proportional to 9,178.84, 12,666.90 and 5,199.85 is: 7,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.84 : 12,666.90 = 5,199.85 : x
  2. Step 2: Convert to fraction form
    9,178.84/12,666.90 = 5,199.85/x
  3. Step 3: Cross multiply
    9,178.84x = 12,666.90 × 5,199.85
  4. Step 4: Simplify right side
    9,178.84x = 65,865,979.97
  5. Step 5: Solve for x
    x = 65,865,979.97/9,178.84
  6. Step 6: Final answer
    x = 7,175.85

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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.