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Finding the Fourth Proportional to 9,399.72, 12,969.64 and 5,419.80

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Solution

The fourth proportional to 9,399.72, 12,969.64 and 5,419.80 is: 7,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.72 : 12,969.64 = 5,419.80 : x
  2. Step 2: Convert to fraction form
    9,399.72/12,969.64 = 5,419.80/x
  3. Step 3: Cross multiply
    9,399.72x = 12,969.64 × 5,419.80
  4. Step 4: Simplify right side
    9,399.72x = 70,292,854.87
  5. Step 5: Solve for x
    x = 70,292,854.87/9,399.72
  6. Step 6: Final answer
    x = 7,478.19

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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.