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Finding the Fourth Proportional to 9,651.66, 13,320.48 and 5,673.14

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Solution

The fourth proportional to 9,651.66, 13,320.48 and 5,673.14 is: 7,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.66 : 13,320.48 = 5,673.14 : x
  2. Step 2: Convert to fraction form
    9,651.66/13,320.48 = 5,673.14/x
  3. Step 3: Cross multiply
    9,651.66x = 13,320.48 × 5,673.14
  4. Step 4: Simplify right side
    9,651.66x = 75,568,947.91
  5. Step 5: Solve for x
    x = 75,568,947.91/9,651.66
  6. Step 6: Final answer
    x = 7,829.63

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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.