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Finding the Fourth Proportional to 9,839.68, 13,637.36 and 9,655.36

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Solution

The fourth proportional to 9,839.68, 13,637.36 and 9,655.36 is: 13,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.68 : 13,637.36 = 9,655.36 : x
  2. Step 2: Convert to fraction form
    9,839.68/13,637.36 = 9,655.36/x
  3. Step 3: Cross multiply
    9,839.68x = 13,637.36 × 9,655.36
  4. Step 4: Simplify right side
    9,839.68x = 131,673,620.25
  5. Step 5: Solve for x
    x = 131,673,620.25/9,839.68
  6. Step 6: Final answer
    x = 13,381.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.