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Finding the Fourth Proportional to 9,988.40, 13,784.84 and 5,796.38

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Solution

The fourth proportional to 9,988.40, 13,784.84 and 5,796.38 is: 7,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.40 : 13,784.84 = 5,796.38 : x
  2. Step 2: Convert to fraction form
    9,988.40/13,784.84 = 5,796.38/x
  3. Step 3: Cross multiply
    9,988.40x = 13,784.84 × 5,796.38
  4. Step 4: Simplify right side
    9,988.40x = 79,902,072.97
  5. Step 5: Solve for x
    x = 79,902,072.97/9,988.40
  6. Step 6: Final answer
    x = 7,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.