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Finding the Fourth Proportional to 9,121.78, 13,681.98 and 2,882.02

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Solution

The fourth proportional to 9,121.78, 13,681.98 and 2,882.02 is: 4,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.78 : 13,681.98 = 2,882.02 : x
  2. Step 2: Convert to fraction form
    9,121.78/13,681.98 = 2,882.02/x
  3. Step 3: Cross multiply
    9,121.78x = 13,681.98 × 2,882.02
  4. Step 4: Simplify right side
    9,121.78x = 39,431,740.00
  5. Step 5: Solve for x
    x = 39,431,740.00/9,121.78
  6. Step 6: Final answer
    x = 4,322.81

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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.