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Finding the Fourth Proportional to 9,176.83, 13,763.62 and 4,178.05

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Solution

The fourth proportional to 9,176.83, 13,763.62 and 4,178.05 is: 6,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.83 : 13,763.62 = 4,178.05 : x
  2. Step 2: Convert to fraction form
    9,176.83/13,763.62 = 4,178.05/x
  3. Step 3: Cross multiply
    9,176.83x = 13,763.62 × 4,178.05
  4. Step 4: Simplify right side
    9,176.83x = 57,505,092.54
  5. Step 5: Solve for x
    x = 57,505,092.54/9,176.83
  6. Step 6: Final answer
    x = 6,266.34

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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.