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Finding the Fourth Proportional to 9,672.39, 13,346.72 and 5,894.19

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Solution

The fourth proportional to 9,672.39, 13,346.72 and 5,894.19 is: 8,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.39 : 13,346.72 = 5,894.19 : x
  2. Step 2: Convert to fraction form
    9,672.39/13,346.72 = 5,894.19/x
  3. Step 3: Cross multiply
    9,672.39x = 13,346.72 × 5,894.19
  4. Step 4: Simplify right side
    9,672.39x = 78,668,074.09
  5. Step 5: Solve for x
    x = 78,668,074.09/9,672.39
  6. Step 6: Final answer
    x = 8,133.26

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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.