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Finding the Fourth Proportional to 9,714.41, 14,574.68 and 3,474.29

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Solution

The fourth proportional to 9,714.41, 14,574.68 and 3,474.29 is: 5,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.41 : 14,574.68 = 3,474.29 : x
  2. Step 2: Convert to fraction form
    9,714.41/14,574.68 = 3,474.29/x
  3. Step 3: Cross multiply
    9,714.41x = 14,574.68 × 3,474.29
  4. Step 4: Simplify right side
    9,714.41x = 50,636,574.73
  5. Step 5: Solve for x
    x = 50,636,574.73/9,714.41
  6. Step 6: Final answer
    x = 5,212.52

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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.