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Finding the Fourth Proportional to 9,674.75, 13,346.21 and 6,319.52

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Solution

The fourth proportional to 9,674.75, 13,346.21 and 6,319.52 is: 8,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.75 : 13,346.21 = 6,319.52 : x
  2. Step 2: Convert to fraction form
    9,674.75/13,346.21 = 6,319.52/x
  3. Step 3: Cross multiply
    9,674.75x = 13,346.21 × 6,319.52
  4. Step 4: Simplify right side
    9,674.75x = 84,341,641.02
  5. Step 5: Solve for x
    x = 84,341,641.02/9,674.75
  6. Step 6: Final answer
    x = 8,717.71

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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.