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Finding the Fourth Proportional to 9,752.70, 14,630.26 and 3,177.12

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Solution

The fourth proportional to 9,752.70, 14,630.26 and 3,177.12 is: 4,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.70 : 14,630.26 = 3,177.12 : x
  2. Step 2: Convert to fraction form
    9,752.70/14,630.26 = 3,177.12/x
  3. Step 3: Cross multiply
    9,752.70x = 14,630.26 × 3,177.12
  4. Step 4: Simplify right side
    9,752.70x = 46,482,091.65
  5. Step 5: Solve for x
    x = 46,482,091.65/9,752.70
  6. Step 6: Final answer
    x = 4,766.07

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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.