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Finding the Fourth Proportional to 9,918, 13,687.38 and 5,727.60

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Solution

The fourth proportional to 9,918, 13,687.38 and 5,727.60 is: 7,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 13,687.38 = 5,727.60 : x
  2. Step 2: Convert to fraction form
    9,918/13,687.38 = 5,727.60/x
  3. Step 3: Cross multiply
    9,918x = 13,687.38 × 5,727.60
  4. Step 4: Simplify right side
    9,918x = 78,395,837.69
  5. Step 5: Solve for x
    x = 78,395,837.69/9,918
  6. Step 6: Final answer
    x = 7,904.40

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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.