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Finding the Fourth Proportional to 9,920.29, 13,690.60 and 6,557.27

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Solution

The fourth proportional to 9,920.29, 13,690.60 and 6,557.27 is: 9,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.29 : 13,690.60 = 6,557.27 : x
  2. Step 2: Convert to fraction form
    9,920.29/13,690.60 = 6,557.27/x
  3. Step 3: Cross multiply
    9,920.29x = 13,690.60 × 6,557.27
  4. Step 4: Simplify right side
    9,920.29x = 89,772,960.66
  5. Step 5: Solve for x
    x = 89,772,960.66/9,920.29
  6. Step 6: Final answer
    x = 9,049.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.