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Finding the Fourth Proportional to 9,764.25, 14,647.13 and 3,191.10

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Solution

The fourth proportional to 9,764.25, 14,647.13 and 3,191.10 is: 4,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.25 : 14,647.13 = 3,191.10 : x
  2. Step 2: Convert to fraction form
    9,764.25/14,647.13 = 3,191.10/x
  3. Step 3: Cross multiply
    9,764.25x = 14,647.13 × 3,191.10
  4. Step 4: Simplify right side
    9,764.25x = 46,740,397.63
  5. Step 5: Solve for x
    x = 46,740,397.63/9,764.25
  6. Step 6: Final answer
    x = 4,786.89

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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.