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Finding the Fourth Proportional to 9,767.24, 14,654 and 3,191.93

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Solution

The fourth proportional to 9,767.24, 14,654 and 3,191.93 is: 4,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.24 : 14,654 = 3,191.93 : x
  2. Step 2: Convert to fraction form
    9,767.24/14,654 = 3,191.93/x
  3. Step 3: Cross multiply
    9,767.24x = 14,654 × 3,191.93
  4. Step 4: Simplify right side
    9,767.24x = 46,774,542.22
  5. Step 5: Solve for x
    x = 46,774,542.22/9,767.24
  6. Step 6: Final answer
    x = 4,788.92

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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.