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Finding the Fourth Proportional to 9,717.46, 14,573.11 and 3,475.79

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Solution

The fourth proportional to 9,717.46, 14,573.11 and 3,475.79 is: 5,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.46 : 14,573.11 = 3,475.79 : x
  2. Step 2: Convert to fraction form
    9,717.46/14,573.11 = 3,475.79/x
  3. Step 3: Cross multiply
    9,717.46x = 14,573.11 × 3,475.79
  4. Step 4: Simplify right side
    9,717.46x = 50,653,098.41
  5. Step 5: Solve for x
    x = 50,653,098.41/9,717.46
  6. Step 6: Final answer
    x = 5,212.59

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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.