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Finding the Fourth Proportional to 9,419.32, 12,998.64 and 5,440.33

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Solution

The fourth proportional to 9,419.32, 12,998.64 and 5,440.33 is: 7,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.32 : 12,998.64 = 5,440.33 : x
  2. Step 2: Convert to fraction form
    9,419.32/12,998.64 = 5,440.33/x
  3. Step 3: Cross multiply
    9,419.32x = 12,998.64 × 5,440.33
  4. Step 4: Simplify right side
    9,419.32x = 70,716,891.15
  5. Step 5: Solve for x
    x = 70,716,891.15/9,419.32
  6. Step 6: Final answer
    x = 7,507.64

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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.