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Finding the Fourth Proportional to 9,986.96, 13,772.14 and 7,748.02

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Solution

The fourth proportional to 9,986.96, 13,772.14 and 7,748.02 is: 10,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.96 : 13,772.14 = 7,748.02 : x
  2. Step 2: Convert to fraction form
    9,986.96/13,772.14 = 7,748.02/x
  3. Step 3: Cross multiply
    9,986.96x = 13,772.14 × 7,748.02
  4. Step 4: Simplify right side
    9,986.96x = 106,706,816.16
  5. Step 5: Solve for x
    x = 106,706,816.16/9,986.96
  6. Step 6: Final answer
    x = 10,684.61

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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.