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Finding the Fourth Proportional to 9,713.83, 13,400.43 and 5,732.26

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Solution

The fourth proportional to 9,713.83, 13,400.43 and 5,732.26 is: 7,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.83 : 13,400.43 = 5,732.26 : x
  2. Step 2: Convert to fraction form
    9,713.83/13,400.43 = 5,732.26/x
  3. Step 3: Cross multiply
    9,713.83x = 13,400.43 × 5,732.26
  4. Step 4: Simplify right side
    9,713.83x = 76,814,748.87
  5. Step 5: Solve for x
    x = 76,814,748.87/9,713.83
  6. Step 6: Final answer
    x = 7,907.77

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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.