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Finding the Fourth Proportional to 9,686.55, 14,534.63 and 3,843.03

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Solution

The fourth proportional to 9,686.55, 14,534.63 and 3,843.03 is: 5,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.55 : 14,534.63 = 3,843.03 : x
  2. Step 2: Convert to fraction form
    9,686.55/14,534.63 = 3,843.03/x
  3. Step 3: Cross multiply
    9,686.55x = 14,534.63 × 3,843.03
  4. Step 4: Simplify right side
    9,686.55x = 55,857,019.13
  5. Step 5: Solve for x
    x = 55,857,019.13/9,686.55
  6. Step 6: Final answer
    x = 5,766.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.