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Finding the Fourth Proportional to 9,122.35, 13,681.81 and 3,855.64

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Solution

The fourth proportional to 9,122.35, 13,681.81 and 3,855.64 is: 5,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.35 : 13,681.81 = 3,855.64 : x
  2. Step 2: Convert to fraction form
    9,122.35/13,681.81 = 3,855.64/x
  3. Step 3: Cross multiply
    9,122.35x = 13,681.81 × 3,855.64
  4. Step 4: Simplify right side
    9,122.35x = 52,752,133.91
  5. Step 5: Solve for x
    x = 52,752,133.91/9,122.35
  6. Step 6: Final answer
    x = 5,782.74

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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.