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Finding the Fourth Proportional to 9,909.36, 14,860.94 and 3,583.44

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Solution

The fourth proportional to 9,909.36, 14,860.94 and 3,583.44 is: 5,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.36 : 14,860.94 = 3,583.44 : x
  2. Step 2: Convert to fraction form
    9,909.36/14,860.94 = 3,583.44/x
  3. Step 3: Cross multiply
    9,909.36x = 14,860.94 × 3,583.44
  4. Step 4: Simplify right side
    9,909.36x = 53,253,286.83
  5. Step 5: Solve for x
    x = 53,253,286.83/9,909.36
  6. Step 6: Final answer
    x = 5,374.04

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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.