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Finding the Fourth Proportional to 9,122.49, 13,684.07 and 4,123.91

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Solution

The fourth proportional to 9,122.49, 13,684.07 and 4,123.91 is: 6,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.49 : 13,684.07 = 4,123.91 : x
  2. Step 2: Convert to fraction form
    9,122.49/13,684.07 = 4,123.91/x
  3. Step 3: Cross multiply
    9,122.49x = 13,684.07 × 4,123.91
  4. Step 4: Simplify right side
    9,122.49x = 56,431,917.63
  5. Step 5: Solve for x
    x = 56,431,917.63/9,122.49
  6. Step 6: Final answer
    x = 6,186.02

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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.