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Finding the Fourth Proportional to 9,920.86, 13,690.71 and 5,731.42

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Solution

The fourth proportional to 9,920.86, 13,690.71 and 5,731.42 is: 7,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.86 : 13,690.71 = 5,731.42 : x
  2. Step 2: Convert to fraction form
    9,920.86/13,690.71 = 5,731.42/x
  3. Step 3: Cross multiply
    9,920.86x = 13,690.71 × 5,731.42
  4. Step 4: Simplify right side
    9,920.86x = 78,467,209.11
  5. Step 5: Solve for x
    x = 78,467,209.11/9,920.86
  6. Step 6: Final answer
    x = 7,909.32

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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.