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Finding the Fourth Proportional to 9,717.65, 14,572.88 and 3,475.97

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Solution

The fourth proportional to 9,717.65, 14,572.88 and 3,475.97 is: 5,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.65 : 14,572.88 = 3,475.97 : x
  2. Step 2: Convert to fraction form
    9,717.65/14,572.88 = 3,475.97/x
  3. Step 3: Cross multiply
    9,717.65x = 14,572.88 × 3,475.97
  4. Step 4: Simplify right side
    9,717.65x = 50,654,893.69
  5. Step 5: Solve for x
    x = 50,654,893.69/9,717.65
  6. Step 6: Final answer
    x = 5,212.67

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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.