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Finding the Fourth Proportional to 8,784, 13,174.56 and 6,179.04

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Solution

The fourth proportional to 8,784, 13,174.56 and 6,179.04 is: 9,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 13,174.56 = 6,179.04 : x
  2. Step 2: Convert to fraction form
    8,784/13,174.56 = 6,179.04/x
  3. Step 3: Cross multiply
    8,784x = 13,174.56 × 6,179.04
  4. Step 4: Simplify right side
    8,784x = 81,406,133.22
  5. Step 5: Solve for x
    x = 81,406,133.22/8,784
  6. Step 6: Final answer
    x = 9,267.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.