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Finding the Fourth Proportional to 9,886.14, 13,644.39 and 5,637.20

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Solution

The fourth proportional to 9,886.14, 13,644.39 and 5,637.20 is: 7,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.14 : 13,644.39 = 5,637.20 : x
  2. Step 2: Convert to fraction form
    9,886.14/13,644.39 = 5,637.20/x
  3. Step 3: Cross multiply
    9,886.14x = 13,644.39 × 5,637.20
  4. Step 4: Simplify right side
    9,886.14x = 76,916,087.09
  5. Step 5: Solve for x
    x = 76,916,087.09/9,886.14
  6. Step 6: Final answer
    x = 7,780.19

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