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Finding the Fourth Proportional to 9,965.83, 13,751.65 and 5,716.67

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Solution

The fourth proportional to 9,965.83, 13,751.65 and 5,716.67 is: 7,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.83 : 13,751.65 = 5,716.67 : x
  2. Step 2: Convert to fraction form
    9,965.83/13,751.65 = 5,716.67/x
  3. Step 3: Cross multiply
    9,965.83x = 13,751.65 × 5,716.67
  4. Step 4: Simplify right side
    9,965.83x = 78,613,645.01
  5. Step 5: Solve for x
    x = 78,613,645.01/9,965.83
  6. Step 6: Final answer
    x = 7,888.32

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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.