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Finding the Fourth Proportional to 9,517.79, 14,280.77 and 3,678.50

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Solution

The fourth proportional to 9,517.79, 14,280.77 and 3,678.50 is: 5,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.79 : 14,280.77 = 3,678.50 : x
  2. Step 2: Convert to fraction form
    9,517.79/14,280.77 = 3,678.50/x
  3. Step 3: Cross multiply
    9,517.79x = 14,280.77 × 3,678.50
  4. Step 4: Simplify right side
    9,517.79x = 52,531,857.34
  5. Step 5: Solve for x
    x = 52,531,857.34/9,517.79
  6. Step 6: Final answer
    x = 5,519.33

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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.