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Finding the Fourth Proportional to 9,713.96, 13,401.80 and 5,733.08

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Solution

The fourth proportional to 9,713.96, 13,401.80 and 5,733.08 is: 7,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.96 : 13,401.80 = 5,733.08 : x
  2. Step 2: Convert to fraction form
    9,713.96/13,401.80 = 5,733.08/x
  3. Step 3: Cross multiply
    9,713.96x = 13,401.80 × 5,733.08
  4. Step 4: Simplify right side
    9,713.96x = 76,833,591.54
  5. Step 5: Solve for x
    x = 76,833,591.54/9,713.96
  6. Step 6: Final answer
    x = 7,909.61

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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.