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Finding the Fourth Proportional to 9,713.82, 14,551.56 and 4,768.68

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Solution

The fourth proportional to 9,713.82, 14,551.56 and 4,768.68 is: 7,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.82 : 14,551.56 = 4,768.68 : x
  2. Step 2: Convert to fraction form
    9,713.82/14,551.56 = 4,768.68/x
  3. Step 3: Cross multiply
    9,713.82x = 14,551.56 × 4,768.68
  4. Step 4: Simplify right side
    9,713.82x = 69,391,733.14
  5. Step 5: Solve for x
    x = 69,391,733.14/9,713.82
  6. Step 6: Final answer
    x = 7,143.61

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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.