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Finding the Fourth Proportional to 9,784.33, 14,677.04 and 3,940.18

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Solution

The fourth proportional to 9,784.33, 14,677.04 and 3,940.18 is: 5,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.33 : 14,677.04 = 3,940.18 : x
  2. Step 2: Convert to fraction form
    9,784.33/14,677.04 = 3,940.18/x
  3. Step 3: Cross multiply
    9,784.33x = 14,677.04 × 3,940.18
  4. Step 4: Simplify right side
    9,784.33x = 57,830,179.47
  5. Step 5: Solve for x
    x = 57,830,179.47/9,784.33
  6. Step 6: Final answer
    x = 5,910.49

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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.