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Finding the Fourth Proportional to 9,713.86, 13,411.26 and 6,728.62

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Solution

The fourth proportional to 9,713.86, 13,411.26 and 6,728.62 is: 9,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.86 : 13,411.26 = 6,728.62 : x
  2. Step 2: Convert to fraction form
    9,713.86/13,411.26 = 6,728.62/x
  3. Step 3: Cross multiply
    9,713.86x = 13,411.26 × 6,728.62
  4. Step 4: Simplify right side
    9,713.86x = 90,239,272.26
  5. Step 5: Solve for x
    x = 90,239,272.26/9,713.86
  6. Step 6: Final answer
    x = 9,289.74

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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.