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Finding the Fourth Proportional to 9,374.98, 14,063.30 and 3,828.71

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Solution

The fourth proportional to 9,374.98, 14,063.30 and 3,828.71 is: 5,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.98 : 14,063.30 = 3,828.71 : x
  2. Step 2: Convert to fraction form
    9,374.98/14,063.30 = 3,828.71/x
  3. Step 3: Cross multiply
    9,374.98x = 14,063.30 × 3,828.71
  4. Step 4: Simplify right side
    9,374.98x = 53,844,297.34
  5. Step 5: Solve for x
    x = 53,844,297.34/9,374.98
  6. Step 6: Final answer
    x = 5,743.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.