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Finding the Fourth Proportional to 9,708.12, 14,562.95 and 3,467.88

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Solution

The fourth proportional to 9,708.12, 14,562.95 and 3,467.88 is: 5,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.12 : 14,562.95 = 3,467.88 : x
  2. Step 2: Convert to fraction form
    9,708.12/14,562.95 = 3,467.88/x
  3. Step 3: Cross multiply
    9,708.12x = 14,562.95 × 3,467.88
  4. Step 4: Simplify right side
    9,708.12x = 50,502,545.71
  5. Step 5: Solve for x
    x = 50,502,545.71/9,708.12
  6. Step 6: Final answer
    x = 5,202.09

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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.