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Finding the Fourth Proportional to 9,175.83, 13,767.03 and 5,661.75

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Solution

The fourth proportional to 9,175.83, 13,767.03 and 5,661.75 is: 8,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.83 : 13,767.03 = 5,661.75 : x
  2. Step 2: Convert to fraction form
    9,175.83/13,767.03 = 5,661.75/x
  3. Step 3: Cross multiply
    9,175.83x = 13,767.03 × 5,661.75
  4. Step 4: Simplify right side
    9,175.83x = 77,945,482.10
  5. Step 5: Solve for x
    x = 77,945,482.10/9,175.83
  6. Step 6: Final answer
    x = 8,494.65

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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.