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Finding the Fourth Proportional to 9,122.77, 13,689.56 and 3,857.49

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Solution

The fourth proportional to 9,122.77, 13,689.56 and 3,857.49 is: 5,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.77 : 13,689.56 = 3,857.49 : x
  2. Step 2: Convert to fraction form
    9,122.77/13,689.56 = 3,857.49/x
  3. Step 3: Cross multiply
    9,122.77x = 13,689.56 × 3,857.49
  4. Step 4: Simplify right side
    9,122.77x = 52,807,340.80
  5. Step 5: Solve for x
    x = 52,807,340.80/9,122.77
  6. Step 6: Final answer
    x = 5,788.52

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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.