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Finding the Fourth Proportional to 9,651.48, 13,313.34 and 5,919

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Solution

The fourth proportional to 9,651.48, 13,313.34 and 5,919 is: 8,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.48 : 13,313.34 = 5,919 : x
  2. Step 2: Convert to fraction form
    9,651.48/13,313.34 = 5,919/x
  3. Step 3: Cross multiply
    9,651.48x = 13,313.34 × 5,919
  4. Step 4: Simplify right side
    9,651.48x = 78,801,659.46
  5. Step 5: Solve for x
    x = 78,801,659.46/9,651.48
  6. Step 6: Final answer
    x = 8,164.72

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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.