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Finding the Fourth Proportional to 9,751.83, 14,626.24 and 3,178

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Solution

The fourth proportional to 9,751.83, 14,626.24 and 3,178 is: 4,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.83 : 14,626.24 = 3,178 : x
  2. Step 2: Convert to fraction form
    9,751.83/14,626.24 = 3,178/x
  3. Step 3: Cross multiply
    9,751.83x = 14,626.24 × 3,178
  4. Step 4: Simplify right side
    9,751.83x = 46,482,190.72
  5. Step 5: Solve for x
    x = 46,482,190.72/9,751.83
  6. Step 6: Final answer
    x = 4,766.51

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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.